ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 323 - 326 of 472

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Question number: 323

» Probability » Probability Distributions » Gamma

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MCQ▾

Question

If has the gamma distribution with shape parameter then it’s moment generating function is ________ .

Choices

Choice (4)Response

a.

b.

c.

d.

Question number: 324

» Probability » Probability Distributions » Joint and Marginal Distributions

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Continuous random variables and have a joint distribution with density function

in the region bounded by Find the density function for the marginal distribution of for

Choices

Choice (4)Response

a.

b.

c.

d.

Question number: 325

» Probability » Modes of Convergences of Sequences of Random Variables » In Mean Square

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If then in the -th mean implies ________.

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Choice (4)Response

a.

in -th mean.

b.

almost everywhere.

c.

in -th mean.

d.

Question does not provide sufficient data or is vague

Question number: 326

» Probability » Probability Distributions » Beta

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Suppose where . Then which of the following statement is correct?

Choices

Choice (4)Response

a.

Then the distribution is a two-parameter exponential family with natural parameters and , and natural statistics and .

b.

Then the distribution is a two-parameter exponential family with natural parameters and , and natural statistics and .

c.

Then the distribution is a two-parameter exponential family with natural parameters and , and natural statistics and .

d.

Then the distribution is a two-parameter exponential family with natural parameters and , and natural statistics and .

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