ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 323 - 327 of 461

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Question number: 323

» 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: 324

» 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: 325

» 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: 326

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

MCQ▾

Question

If then in the -th mean implies ________.

Choices

Choice (4) Response

a.

in -th mean.

b.

in -th mean.

c.

almost everywhere.

d.

All of the above

Question number: 327

» 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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