ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 308 - 311 of 471

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Question number: 308

» Probability » Probability Distributions » Beta

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Question

For a standard Beta distribution having pdf , with parameter , which of the following statements is/are correct?

Choices

Choice (4) Response

a.

If is increasing with mode at

b.

If is increasing with

c.

If is decreasing with mode at

d.

All a. , b. and c. are correct

Question number: 309

» Probability » Probability Distributions » Conditional Distributions

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Question

Suppose that the joint density of and is

and zero otherwise. Which of the following is equal to

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 310

» Probability » Probability Distributions » Beta

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If is the mode of given , then which of the following relation is correct:

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 311

» Probability » Probability Distributions » Conditional Distributions

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Question

A continuous random vector have joint probability distribution function

What is the mean of conditional density of given ?

Choices

Choice (4) Response

a.

x

b.

c.

d.

None of the above