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Q2876218 Inglês

Text I


Brazil: Platform for growth

By Joe Leahy


On the Cidade de Angra dos Reis oil platform,

surrounded by the deep blue South Atlantic, a

Petrobras engineer turns on a tap and watches black

liquid flow into a beaker.

5____It looks and smells like ordinary crude oil.

Nevertheless, for Brazil, this represents something

much more spectacular. Pumped by the national oil

company from “pre-salt” deposits – so-called because

they lie beneath 2,000m of salt – 300km off the coast

10 of Rio de Janeiro, it is some of the first commercial

oil to flow from the country’s giant new deepwater

discoveries.

Already estimated to contain 50bn barrels, and

with much of the area still to be fully explored, the

15 fields contain the world’s largest known offshore oil

deposits. In one step, Brazil could jump up the world

rankings of national oil reserves and production, from

15th to fifth. So great are the discoveries, and the

investment required to exploit them, that they have

20 the potential to transform the country – for good or for ill.

Having seen out booms and busts before,

Brazilians are hoping that this time “the country

of the future” will at last realise its full economic

potential. The hope is that the discoveries will provide

25 a nation already rich in renewable energy with an

embarrassment of resources with which to pursue the

goal of becoming a US of the south.

The danger for Brazil, if it fails to manage this

windfall wisely, is of falling victim to “Dutch disease”.

30 The economic malaise is named after the Netherlands

in the 1970s, where the manufacturing sector withered

after its currency strengthened on the back of a large

gas field discovery combined with rising energy prices.

Even worse, Brazil could suffer a more severe

35 form of the disease, the “oil curse”, whereby nations

rich in natural resources – Nigeria and Venezuela, for

example – grow addicted to the money that flows from

them.

Petrobras chief executive says neither the

40 company nor the country’s oil industry has so far

been big enough to become a government cash cow.

But with the new discoveries, which stretch across an

800km belt off the coast of south-eastern Brazil, this is

going to change. The oil industry could grow from about

45 10 per cent of GDP to up to 25 per cent in the coming

decades, analysts say. To curb any negative effects,

Brazil is trying to support domestic manufacturing

by increasing “local content” requirements in the oil

industry.

50____Without a “firm local content policy”, says

Petrobras CEO, Dutch disease and the oil curse will

take hold. However, “if we have a firm and successful

local content policy, no – because other sectors in the

economy are going to grow as fast as Petrobras”.

55___The other long-term dividend Brazil is seeking

from the discoveries is in research and development

(R&D). Extracting oil from beneath a layer of salt at

great depth, hundreds of kilometres from the coast, is

so challenging that Brazilian engineers see it as a new

60 frontier. If they can perfect this, they can lead the way

in other markets with similar geology, such as Africa.

For its part, Petrobras is spending $800m-$900m

a year over the next five years on R&D, and has

invested $700m in the expansion of its research

65 centre.

Ultimately, Brazil’s ability to avoid Dutch disease

will depend not just on how the money from the oil

is spent. The country is the world’s second biggest

exporter of iron ore. It is the largest exporter of beef.

70 It is also the biggest producer of sugar, coffee and

orange juice, and the second-largest producer of soya

beans.

Exports of these commodities are already driving

up the exchange rate before the new oil fields have

75 fully come on stream, making it harder for Brazilian

exporters of manufactured goods. Industrial production

has faltered in recent months, with manufacturers

blaming the trend on a flood of cheap Chinese-made

imports.

80____“Brazil has everything that China doesn’t and it’s

natural that, as China continues to grow, it’s just going

to be starved for those resources,” says Harvard’s

Prof Rogoff. “At some level Brazil doesn’t just want

to be exporting natural resources – it wants a more

85 diversified economy. There are going to be some

rising tensions over that.”


Adapted from Financial Times - March 15 2011 22:54. Available in:

<http://www.ft.com/cms/s/0/fa11320c-4f48-11e0-9038-00144feab49a,_i_email=y.html>

Retrieved on: June 17, 2011.

The boldfaced item is synonymous with the expression in parentheses in

Alternativas
Q2876217 Inglês

Text I


Brazil: Platform for growth

By Joe Leahy


On the Cidade de Angra dos Reis oil platform,

surrounded by the deep blue South Atlantic, a

Petrobras engineer turns on a tap and watches black

liquid flow into a beaker.

5____It looks and smells like ordinary crude oil.

Nevertheless, for Brazil, this represents something

much more spectacular. Pumped by the national oil

company from “pre-salt” deposits – so-called because

they lie beneath 2,000m of salt – 300km off the coast

10 of Rio de Janeiro, it is some of the first commercial

oil to flow from the country’s giant new deepwater

discoveries.

Already estimated to contain 50bn barrels, and

with much of the area still to be fully explored, the

15 fields contain the world’s largest known offshore oil

deposits. In one step, Brazil could jump up the world

rankings of national oil reserves and production, from

15th to fifth. So great are the discoveries, and the

investment required to exploit them, that they have

20 the potential to transform the country – for good or for ill.

Having seen out booms and busts before,

Brazilians are hoping that this time “the country

of the future” will at last realise its full economic

potential. The hope is that the discoveries will provide

25 a nation already rich in renewable energy with an

embarrassment of resources with which to pursue the

goal of becoming a US of the south.

The danger for Brazil, if it fails to manage this

windfall wisely, is of falling victim to “Dutch disease”.

30 The economic malaise is named after the Netherlands

in the 1970s, where the manufacturing sector withered

after its currency strengthened on the back of a large

gas field discovery combined with rising energy prices.

Even worse, Brazil could suffer a more severe

35 form of the disease, the “oil curse”, whereby nations

rich in natural resources – Nigeria and Venezuela, for

example – grow addicted to the money that flows from

them.

Petrobras chief executive says neither the

40 company nor the country’s oil industry has so far

been big enough to become a government cash cow.

But with the new discoveries, which stretch across an

800km belt off the coast of south-eastern Brazil, this is

going to change. The oil industry could grow from about

45 10 per cent of GDP to up to 25 per cent in the coming

decades, analysts say. To curb any negative effects,

Brazil is trying to support domestic manufacturing

by increasing “local content” requirements in the oil

industry.

50____Without a “firm local content policy”, says

Petrobras CEO, Dutch disease and the oil curse will

take hold. However, “if we have a firm and successful

local content policy, no – because other sectors in the

economy are going to grow as fast as Petrobras”.

55___The other long-term dividend Brazil is seeking

from the discoveries is in research and development

(R&D). Extracting oil from beneath a layer of salt at

great depth, hundreds of kilometres from the coast, is

so challenging that Brazilian engineers see it as a new

60 frontier. If they can perfect this, they can lead the way

in other markets with similar geology, such as Africa.

For its part, Petrobras is spending $800m-$900m

a year over the next five years on R&D, and has

invested $700m in the expansion of its research

65 centre.

Ultimately, Brazil’s ability to avoid Dutch disease

will depend not just on how the money from the oil

is spent. The country is the world’s second biggest

exporter of iron ore. It is the largest exporter of beef.

70 It is also the biggest producer of sugar, coffee and

orange juice, and the second-largest producer of soya

beans.

Exports of these commodities are already driving

up the exchange rate before the new oil fields have

75 fully come on stream, making it harder for Brazilian

exporters of manufactured goods. Industrial production

has faltered in recent months, with manufacturers

blaming the trend on a flood of cheap Chinese-made

imports.

80____“Brazil has everything that China doesn’t and it’s

natural that, as China continues to grow, it’s just going

to be starved for those resources,” says Harvard’s

Prof Rogoff. “At some level Brazil doesn’t just want

to be exporting natural resources – it wants a more

85 diversified economy. There are going to be some

rising tensions over that.”


Adapted from Financial Times - March 15 2011 22:54. Available in:

<http://www.ft.com/cms/s/0/fa11320c-4f48-11e0-9038-00144feab49a,_i_email=y.html>

Retrieved on: June 17, 2011.

In “Without a ‘firm local content policy’, says Petrobras CEO, Dutch disease and the oil curse will take hold.” (lines 50-52), “take hold” means to

Alternativas
Q2876216 Inglês

Text I


Brazil: Platform for growth

By Joe Leahy


On the Cidade de Angra dos Reis oil platform,

surrounded by the deep blue South Atlantic, a

Petrobras engineer turns on a tap and watches black

liquid flow into a beaker.

5____It looks and smells like ordinary crude oil.

Nevertheless, for Brazil, this represents something

much more spectacular. Pumped by the national oil

company from “pre-salt” deposits – so-called because

they lie beneath 2,000m of salt – 300km off the coast

10 of Rio de Janeiro, it is some of the first commercial

oil to flow from the country’s giant new deepwater

discoveries.

Already estimated to contain 50bn barrels, and

with much of the area still to be fully explored, the

15 fields contain the world’s largest known offshore oil

deposits. In one step, Brazil could jump up the world

rankings of national oil reserves and production, from

15th to fifth. So great are the discoveries, and the

investment required to exploit them, that they have

20 the potential to transform the country – for good or for ill.

Having seen out booms and busts before,

Brazilians are hoping that this time “the country

of the future” will at last realise its full economic

potential. The hope is that the discoveries will provide

25 a nation already rich in renewable energy with an

embarrassment of resources with which to pursue the

goal of becoming a US of the south.

The danger for Brazil, if it fails to manage this

windfall wisely, is of falling victim to “Dutch disease”.

30 The economic malaise is named after the Netherlands

in the 1970s, where the manufacturing sector withered

after its currency strengthened on the back of a large

gas field discovery combined with rising energy prices.

Even worse, Brazil could suffer a more severe

35 form of the disease, the “oil curse”, whereby nations

rich in natural resources – Nigeria and Venezuela, for

example – grow addicted to the money that flows from

them.

Petrobras chief executive says neither the

40 company nor the country’s oil industry has so far

been big enough to become a government cash cow.

But with the new discoveries, which stretch across an

800km belt off the coast of south-eastern Brazil, this is

going to change. The oil industry could grow from about

45 10 per cent of GDP to up to 25 per cent in the coming

decades, analysts say. To curb any negative effects,

Brazil is trying to support domestic manufacturing

by increasing “local content” requirements in the oil

industry.

50____Without a “firm local content policy”, says

Petrobras CEO, Dutch disease and the oil curse will

take hold. However, “if we have a firm and successful

local content policy, no – because other sectors in the

economy are going to grow as fast as Petrobras”.

55___The other long-term dividend Brazil is seeking

from the discoveries is in research and development

(R&D). Extracting oil from beneath a layer of salt at

great depth, hundreds of kilometres from the coast, is

so challenging that Brazilian engineers see it as a new

60 frontier. If they can perfect this, they can lead the way

in other markets with similar geology, such as Africa.

For its part, Petrobras is spending $800m-$900m

a year over the next five years on R&D, and has

invested $700m in the expansion of its research

65 centre.

Ultimately, Brazil’s ability to avoid Dutch disease

will depend not just on how the money from the oil

is spent. The country is the world’s second biggest

exporter of iron ore. It is the largest exporter of beef.

70 It is also the biggest producer of sugar, coffee and

orange juice, and the second-largest producer of soya

beans.

Exports of these commodities are already driving

up the exchange rate before the new oil fields have

75 fully come on stream, making it harder for Brazilian

exporters of manufactured goods. Industrial production

has faltered in recent months, with manufacturers

blaming the trend on a flood of cheap Chinese-made

imports.

80____“Brazil has everything that China doesn’t and it’s

natural that, as China continues to grow, it’s just going

to be starved for those resources,” says Harvard’s

Prof Rogoff. “At some level Brazil doesn’t just want

to be exporting natural resources – it wants a more

85 diversified economy. There are going to be some

rising tensions over that.”


Adapted from Financial Times - March 15 2011 22:54. Available in:

<http://www.ft.com/cms/s/0/fa11320c-4f48-11e0-9038-00144feab49a,_i_email=y.html>

Retrieved on: June 17, 2011.

Concerning the referent to the pronoun it, in the fragments below,

Alternativas
Q2876214 Inglês

Text I


Brazil: Platform for growth

By Joe Leahy


On the Cidade de Angra dos Reis oil platform,

surrounded by the deep blue South Atlantic, a

Petrobras engineer turns on a tap and watches black

liquid flow into a beaker.

5____It looks and smells like ordinary crude oil.

Nevertheless, for Brazil, this represents something

much more spectacular. Pumped by the national oil

company from “pre-salt” deposits – so-called because

they lie beneath 2,000m of salt – 300km off the coast

10 of Rio de Janeiro, it is some of the first commercial

oil to flow from the country’s giant new deepwater

discoveries.

Already estimated to contain 50bn barrels, and

with much of the area still to be fully explored, the

15 fields contain the world’s largest known offshore oil

deposits. In one step, Brazil could jump up the world

rankings of national oil reserves and production, from

15th to fifth. So great are the discoveries, and the

investment required to exploit them, that they have

20 the potential to transform the country – for good or for ill.

Having seen out booms and busts before,

Brazilians are hoping that this time “the country

of the future” will at last realise its full economic

potential. The hope is that the discoveries will provide

25 a nation already rich in renewable energy with an

embarrassment of resources with which to pursue the

goal of becoming a US of the south.

The danger for Brazil, if it fails to manage this

windfall wisely, is of falling victim to “Dutch disease”.

30 The economic malaise is named after the Netherlands

in the 1970s, where the manufacturing sector withered

after its currency strengthened on the back of a large

gas field discovery combined with rising energy prices.

Even worse, Brazil could suffer a more severe

35 form of the disease, the “oil curse”, whereby nations

rich in natural resources – Nigeria and Venezuela, for

example – grow addicted to the money that flows from

them.

Petrobras chief executive says neither the

40 company nor the country’s oil industry has so far

been big enough to become a government cash cow.

But with the new discoveries, which stretch across an

800km belt off the coast of south-eastern Brazil, this is

going to change. The oil industry could grow from about

45 10 per cent of GDP to up to 25 per cent in the coming

decades, analysts say. To curb any negative effects,

Brazil is trying to support domestic manufacturing

by increasing “local content” requirements in the oil

industry.

50____Without a “firm local content policy”, says

Petrobras CEO, Dutch disease and the oil curse will

take hold. However, “if we have a firm and successful

local content policy, no – because other sectors in the

economy are going to grow as fast as Petrobras”.

55___The other long-term dividend Brazil is seeking

from the discoveries is in research and development

(R&D). Extracting oil from beneath a layer of salt at

great depth, hundreds of kilometres from the coast, is

so challenging that Brazilian engineers see it as a new

60 frontier. If they can perfect this, they can lead the way

in other markets with similar geology, such as Africa.

For its part, Petrobras is spending $800m-$900m

a year over the next five years on R&D, and has

invested $700m in the expansion of its research

65 centre.

Ultimately, Brazil’s ability to avoid Dutch disease

will depend not just on how the money from the oil

is spent. The country is the world’s second biggest

exporter of iron ore. It is the largest exporter of beef.

70 It is also the biggest producer of sugar, coffee and

orange juice, and the second-largest producer of soya

beans.

Exports of these commodities are already driving

up the exchange rate before the new oil fields have

75 fully come on stream, making it harder for Brazilian

exporters of manufactured goods. Industrial production

has faltered in recent months, with manufacturers

blaming the trend on a flood of cheap Chinese-made

imports.

80____“Brazil has everything that China doesn’t and it’s

natural that, as China continues to grow, it’s just going

to be starved for those resources,” says Harvard’s

Prof Rogoff. “At some level Brazil doesn’t just want

to be exporting natural resources – it wants a more

85 diversified economy. There are going to be some

rising tensions over that.”


Adapted from Financial Times - March 15 2011 22:54. Available in:

<http://www.ft.com/cms/s/0/fa11320c-4f48-11e0-9038-00144feab49a,_i_email=y.html>

Retrieved on: June 17, 2011.

According to paragraphs 9 and 10 (lines 55-65), investing in R&D

Alternativas
Q2876213 Inglês

Text I


Brazil: Platform for growth

By Joe Leahy


On the Cidade de Angra dos Reis oil platform,

surrounded by the deep blue South Atlantic, a

Petrobras engineer turns on a tap and watches black

liquid flow into a beaker.

5____It looks and smells like ordinary crude oil.

Nevertheless, for Brazil, this represents something

much more spectacular. Pumped by the national oil

company from “pre-salt” deposits – so-called because

they lie beneath 2,000m of salt – 300km off the coast

10 of Rio de Janeiro, it is some of the first commercial

oil to flow from the country’s giant new deepwater

discoveries.

Already estimated to contain 50bn barrels, and

with much of the area still to be fully explored, the

15 fields contain the world’s largest known offshore oil

deposits. In one step, Brazil could jump up the world

rankings of national oil reserves and production, from

15th to fifth. So great are the discoveries, and the

investment required to exploit them, that they have

20 the potential to transform the country – for good or for ill.

Having seen out booms and busts before,

Brazilians are hoping that this time “the country

of the future” will at last realise its full economic

potential. The hope is that the discoveries will provide

25 a nation already rich in renewable energy with an

embarrassment of resources with which to pursue the

goal of becoming a US of the south.

The danger for Brazil, if it fails to manage this

windfall wisely, is of falling victim to “Dutch disease”.

30 The economic malaise is named after the Netherlands

in the 1970s, where the manufacturing sector withered

after its currency strengthened on the back of a large

gas field discovery combined with rising energy prices.

Even worse, Brazil could suffer a more severe

35 form of the disease, the “oil curse”, whereby nations

rich in natural resources – Nigeria and Venezuela, for

example – grow addicted to the money that flows from

them.

Petrobras chief executive says neither the

40 company nor the country’s oil industry has so far

been big enough to become a government cash cow.

But with the new discoveries, which stretch across an

800km belt off the coast of south-eastern Brazil, this is

going to change. The oil industry could grow from about

45 10 per cent of GDP to up to 25 per cent in the coming

decades, analysts say. To curb any negative effects,

Brazil is trying to support domestic manufacturing

by increasing “local content” requirements in the oil

industry.

50____Without a “firm local content policy”, says

Petrobras CEO, Dutch disease and the oil curse will

take hold. However, “if we have a firm and successful

local content policy, no – because other sectors in the

economy are going to grow as fast as Petrobras”.

55___The other long-term dividend Brazil is seeking

from the discoveries is in research and development

(R&D). Extracting oil from beneath a layer of salt at

great depth, hundreds of kilometres from the coast, is

so challenging that Brazilian engineers see it as a new

60 frontier. If they can perfect this, they can lead the way

in other markets with similar geology, such as Africa.

For its part, Petrobras is spending $800m-$900m

a year over the next five years on R&D, and has

invested $700m in the expansion of its research

65 centre.

Ultimately, Brazil’s ability to avoid Dutch disease

will depend not just on how the money from the oil

is spent. The country is the world’s second biggest

exporter of iron ore. It is the largest exporter of beef.

70 It is also the biggest producer of sugar, coffee and

orange juice, and the second-largest producer of soya

beans.

Exports of these commodities are already driving

up the exchange rate before the new oil fields have

75 fully come on stream, making it harder for Brazilian

exporters of manufactured goods. Industrial production

has faltered in recent months, with manufacturers

blaming the trend on a flood of cheap Chinese-made

imports.

80____“Brazil has everything that China doesn’t and it’s

natural that, as China continues to grow, it’s just going

to be starved for those resources,” says Harvard’s

Prof Rogoff. “At some level Brazil doesn’t just want

to be exporting natural resources – it wants a more

85 diversified economy. There are going to be some

rising tensions over that.”


Adapted from Financial Times - March 15 2011 22:54. Available in:

<http://www.ft.com/cms/s/0/fa11320c-4f48-11e0-9038-00144feab49a,_i_email=y.html>

Retrieved on: June 17, 2011.

According to paragraphs 5 and 6 (lines 28-38), Dutch disease is a

Alternativas
Q2876212 Inglês

Text I


Brazil: Platform for growth

By Joe Leahy


On the Cidade de Angra dos Reis oil platform,

surrounded by the deep blue South Atlantic, a

Petrobras engineer turns on a tap and watches black

liquid flow into a beaker.

5____It looks and smells like ordinary crude oil.

Nevertheless, for Brazil, this represents something

much more spectacular. Pumped by the national oil

company from “pre-salt” deposits – so-called because

they lie beneath 2,000m of salt – 300km off the coast

10 of Rio de Janeiro, it is some of the first commercial

oil to flow from the country’s giant new deepwater

discoveries.

Already estimated to contain 50bn barrels, and

with much of the area still to be fully explored, the

15 fields contain the world’s largest known offshore oil

deposits. In one step, Brazil could jump up the world

rankings of national oil reserves and production, from

15th to fifth. So great are the discoveries, and the

investment required to exploit them, that they have

20 the potential to transform the country – for good or for ill.

Having seen out booms and busts before,

Brazilians are hoping that this time “the country

of the future” will at last realise its full economic

potential. The hope is that the discoveries will provide

25 a nation already rich in renewable energy with an

embarrassment of resources with which to pursue the

goal of becoming a US of the south.

The danger for Brazil, if it fails to manage this

windfall wisely, is of falling victim to “Dutch disease”.

30 The economic malaise is named after the Netherlands

in the 1970s, where the manufacturing sector withered

after its currency strengthened on the back of a large

gas field discovery combined with rising energy prices.

Even worse, Brazil could suffer a more severe

35 form of the disease, the “oil curse”, whereby nations

rich in natural resources – Nigeria and Venezuela, for

example – grow addicted to the money that flows from

them.

Petrobras chief executive says neither the

40 company nor the country’s oil industry has so far

been big enough to become a government cash cow.

But with the new discoveries, which stretch across an

800km belt off the coast of south-eastern Brazil, this is

going to change. The oil industry could grow from about

45 10 per cent of GDP to up to 25 per cent in the coming

decades, analysts say. To curb any negative effects,

Brazil is trying to support domestic manufacturing

by increasing “local content” requirements in the oil

industry.

50____Without a “firm local content policy”, says

Petrobras CEO, Dutch disease and the oil curse will

take hold. However, “if we have a firm and successful

local content policy, no – because other sectors in the

economy are going to grow as fast as Petrobras”.

55___The other long-term dividend Brazil is seeking

from the discoveries is in research and development

(R&D). Extracting oil from beneath a layer of salt at

great depth, hundreds of kilometres from the coast, is

so challenging that Brazilian engineers see it as a new

60 frontier. If they can perfect this, they can lead the way

in other markets with similar geology, such as Africa.

For its part, Petrobras is spending $800m-$900m

a year over the next five years on R&D, and has

invested $700m in the expansion of its research

65 centre.

Ultimately, Brazil’s ability to avoid Dutch disease

will depend not just on how the money from the oil

is spent. The country is the world’s second biggest

exporter of iron ore. It is the largest exporter of beef.

70 It is also the biggest producer of sugar, coffee and

orange juice, and the second-largest producer of soya

beans.

Exports of these commodities are already driving

up the exchange rate before the new oil fields have

75 fully come on stream, making it harder for Brazilian

exporters of manufactured goods. Industrial production

has faltered in recent months, with manufacturers

blaming the trend on a flood of cheap Chinese-made

imports.

80____“Brazil has everything that China doesn’t and it’s

natural that, as China continues to grow, it’s just going

to be starved for those resources,” says Harvard’s

Prof Rogoff. “At some level Brazil doesn’t just want

to be exporting natural resources – it wants a more

85 diversified economy. There are going to be some

rising tensions over that.”


Adapted from Financial Times - March 15 2011 22:54. Available in:

<http://www.ft.com/cms/s/0/fa11320c-4f48-11e0-9038-00144feab49a,_i_email=y.html>

Retrieved on: June 17, 2011.

The communicative intention of Text I is to

Alternativas
Q2169152 Estatística

Texto para a questão.

Sejam X e Y variáveis aleatórias contínuas que possuam uma distribuição conjunta dada por 


“Encontrando um valor de k, de tal forma que k seja função de densidade de probabilidade tem-se que o valor da esperança marginal de X é dado por _______, o valor da esperança marginal de Y é dado por _______ e o valor da probabilidade de X ser menor que Y é dado por _______.” Assinale a alternativa que completa correta e sequencialmente a afirmação anterior.  
Alternativas
Q2169151 Estatística

Texto para a questão.

Sejam X e Y variáveis aleatórias contínuas que possuam uma distribuição conjunta dada por 


Qual valor de k para que a função seja de densidade de probabilidade?
Alternativas
Q2169150 Estatística
Na elaboração do Censo 2010, a estimativa da população do Brasil, em 1º de julho de 2009, foi de 191.480.630 habitantes. A cidade de Borá – SP teria sua população estimada em 805 habitantes, sendo considerada a cidade com menor população do Brasil, e São Paulo – SP com a população estimada em 11.037.593 habitantes, sendo considerada a cidade com a maior população do Brasil. A seguir, a tabela de fração amostral dos domicílios utilizada pelo IBGE para responder o formulário completo de acordo com a magnitude do município. Observe. 
Fração amostral e número de municípios, segundo as classes de tamanho da população dos municípios 
Imagem associada para resolução da questão

Considerando que a população dos 40 maiores municípios é estimada em, aproximadamente, 57 milhões de habitantes e que o número de habitantes por domicílios é uniforme para todas as classes de tamanho da população dos municípios, analise.
I. A classe de tamanho da população de “mais de 500.000” representa a classe com maior quantidade de habitantes estimados no Brasil.
II. A classe do tamanho da população de “até 2.500” representa mais de 4% do número de municípios e menos de 0,4% de habitantes do Brasil.
III. A classe do tamanho da população de “mais de 20.000 até 500.000” representa a classe com estimativa de maior quantidade de habitantes amostrados no Brasil.
IV. A classe do tamanho de população de “até 500.000” representa menos de 15% dos habitantes possivelmente amostrados no Brasil.
Estão corretas apenas as afirmativas 
Alternativas
Q2169149 Estatística
Na apresentação de um novo modelo de carro híbrido, a montadora afirma que seu consumo é de 25km/litro com um desvio padrão de 2km/l. Um teste realizado por uma revista especializada selecionou de forma aleatória 16 veículos deste modelo e constatou uma média de 24,2km/litro, com desvio padrão amostral de 3km/l. Deseja-se realizar um teste ao nível de significância de 5%, confirmando o consumo de 25km/litro contra uma hipótese alternativa do consumo ser igual a 24km/litro. Nesta situação, o valor da probabilidade do erro tipo II e o mínimo da função poder do teste, variando somente valores da hipótese alternativa (em valores aproximados) são, respectivamente 
Alternativas
Q2169148 Estatística
Seja X e Y variáveis aleatórias independentes e identicamente (i.i.d.). A Função Geradora de Momentos (F.G.M.) de cada uma delas é dada por 
M(t) = et²-2 para - ∞ < t < ∞
Com base nestas informações, encontre a F.G.M. de uma variável Z = 2 . X – Y + 3. 
Alternativas
Q2169147 Estatística
Uma determinada universidade conta com 800 funcionários, dos quais 300 são técnicos e 500 são professores. Deseja-se obter a opinião das categorias funcionais em separado com relação a ser favoráveis à realização de um movimento grevista. Considerando tais informações, o tamanho aproximado de uma amostra aleatória simples com erro máximo de 5% da real proporção, e confiança na estimativa do intervalo de 99% para classe de técnico e classe de professor é de, respectivamente
Alternativas
Q2169146 Estatística
“Em uma partida de vôlei, um time precisa vencer 3 sets para ser o vencedor. Admita-se que no confronto entre os times A e B, o time A tenha probabilidade 50% maior que o time B de vencer um set. Admitindo-se que as probabilidades de vitória de um determinado set em uma partida ocorram de forma independente, então a probabilidade do time A vencer uma partida, é aproximadamente __________ maior que do time B.” Assinale a alternativa que completa corretamente a afirmação anterior. 
Alternativas
Q2169145 Estatística
Um teste de múltipla escolha é elaborado com 10 questões em que cada questão contém 5 alternativas, sendo apenas uma correta. Um determinado candidato que realizar o teste e tem probabilidade de 75% de saber a resposta de uma questão. Se o candidato não souber a resposta, existe a possibilidade de acertar “no chute”. O acerto das questões do teste é dado de forma independente para este candidato. Analise as afirmativas.
I. Dado que o candidato não saiba a resposta de uma determinada questão, a probabilidade dele acertá-la é de 20%.
II. A probabilidade de o candidato acertar uma questão selecionada de forma aleatória é de 80%.
III. Dado que o candidato acertou uma determinada questão, a probabilidade de ele saber realmente a resposta é de mais de 90%.
IV. Para este teste, o candidato só é aprovado se acertar pelo menos 9 das 10 questões. Caso o candidato seja aprovado, a chance dele tirar um 9 é 2,5 vezes maior que tirar um 10.
Estão corretas apenas as afirmativas 
Alternativas
Q2169144 Estatística
Analise as seguintes afirmativas.
I. O Erro Quadrático Médio do estimador T2 é igual ao módulo do viés de T1. II. As variâncias de T1 e T2 são iguais aos seus respectivos Erros Quadráticos Médios. III. O Erro Quadrático Médio de T1 é igual ao Erro Quadrático Médio de T2. IV. O estimador T1 apresenta maior eficiência em relação a T2.
Estão corretas apenas as afirmativas
Alternativas
Q2169143 Estatística
Sobre os estimadores T1 e T2 apresentados na situação problema, marque V para as afirmativas verdadeiras e F para as falsas.
( ) T1 e T2 são estimadores assintoticamente não-viesados para estimar o parâmetro θ. ( ) T1 apresenta menor variância que T2 na estimação do parâmetro θ. ( ) O módulo do viés do estimador T1 é maior que o modulo do viés do estimador T2. ( ) A razão da variância do estimador pela variância do estimador determina a eficiência relativa dos dois estimadores.
A sequência está correta em
Alternativas
Q2169142 Estatística
Texto relativo à questão.

O Produto Interno Bruto – PIB representa a soma de todos os bens e serviços finais produzidos em uma determinada região. A seguir, é apresentada a adaptação de uma tabela publicada pelo IBGE sobre a variação do PIB a preço de mercado (descontando depreciações monetárias) do Brasil sobre Contas Nacionais Trimestrais. Observe. 


Considere que o crescimento no ano de 2010 dos componentes “Agropecuária”, “Indústria”, “Serviços” tenham sido 16%, 8% e 4%, respectivamente. Com base nestas informações, o percentual de crescimento do componente “Impostos sobre Produtos” é de, aproximadamente
Alternativas
Q2169141 Estatística
Texto relativo à questão.

O Produto Interno Bruto – PIB representa a soma de todos os bens e serviços finais produzidos em uma determinada região. A seguir, é apresentada a adaptação de uma tabela publicada pelo IBGE sobre a variação do PIB a preço de mercado (descontando depreciações monetárias) do Brasil sobre Contas Nacionais Trimestrais. Observe. 


Um pesquisador propõe um modelo de regressão linear simples pelo método de Mínimos Quadrados para relacionar a variável do componente “Indústria” com o “PIB”, considerando a variável “PIB” como dependente e “Indústria” como independente. Observa no modelo de análise de variância um Erro Quadrático Médio da Regressão de 720 e um Erro Quadrático Médio do Resíduo 240 referentes aos dados da tabela de Componentes do PIB 2009. Com base nestas informações, pode-se afirmar que a porcentagem da variabilidade do PIB explicada pela variável Indústria é de, aproximadamente 
Alternativas
Q2169140 Estatística
Texto relativo à questão.

O Produto Interno Bruto – PIB representa a soma de todos os bens e serviços finais produzidos em uma determinada região. A seguir, é apresentada a adaptação de uma tabela publicada pelo IBGE sobre a variação do PIB a preço de mercado (descontando depreciações monetárias) do Brasil sobre Contas Nacionais Trimestrais. Observe. 


Baseando-se na tabela de Componentes do PIB 2009 construiu-se uma tabela de covariâncias entre os 4 componentes do PIB. Observe. 
Imagem associada para resolução da questão
Considere que o PIB seja a soma dos 4 componentes e a covariância de cada componente com o PIB é apresentada na seguinte ordenação
Alternativas
Q2169139 Estatística
Em determinado jogo de azar deve-se selecionar 10 números no universo de 80 números de 0 a 79. Realiza-se o sorteio de 7 dezenas neste universo de 80 números. Nestas condições, a probabilidade de se acertar 6 é superior a de acertar 7 dezenas em
Alternativas
Respostas
11781: D
11782: B
11783: E
11784: A
11785: A
11786: C
11787: B
11788: D
11789: B
11790: E
11791: B
11792: A
11793: C
11794: E
11795: A
11796: A
11797: C
11798: B
11799: D
11800: A