Probability-Probability Distributions (ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern)): Questions 76 - 78 of 109

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Question number: 76

» Probability » Probability Distributions » Random Vectors

MCQ▾

Question

The joint density function of two continuous random variables and is

What is the value of ?

Choices

Choice (4) Response

a.

b.

c.

d.

None of the above

Question number: 77

» Probability » Probability Distributions » Gamma

MCQ▾

Question

Which of the following statements is/are correct regarding Gamma distribution with parameters?

Choices

Choice (4) Response

a.

If represents identically distributed, independent gamma random variables with parameters and , then if ,

b.

If represents identically distributed, independent gamma random variables with parameters and , then also have a gamma distribution with parameters and .

c.

If the gamma density function is reduced to the exponential density function.

d.

All a. , b. and c. are correct

Question number: 78

» Probability » Probability Distributions » Beta

MCQ▾

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

b.

If is decreasing with mode at

c.

If is increasing with mode at

d.

All a. , b. and c. are correct

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