Probability-Probability Distributions (ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern)): Questions 90 - 93 of 109

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Question number: 90

» Probability » Probability Distributions » Conditional Distributions

MCQ▾

Question

Suppose the continuous random variables X and Y have the following joint probability density function: for and . What is the conditional density of given ?

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 91

» Probability » Probability Distributions » Gamma

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: 92

» Probability » Probability Distributions » Joint and Marginal Distributions

MCQ▾

Question

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: 93

» Probability » Probability Distributions » Beta

MCQ▾

Question

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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