Probability-Probability Distributions (ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern)): Questions 75 - 77 of 109

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Question number: 75

» Probability » Probability Distributions » Joint and Marginal Distributions

MCQ▾

Question

If Equation is the density function for the joint distribution of the continuous random variables Equation and Equation defined over the unit square bounded by the points Equation and Equation then the value of Equation is ________.

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

None of the above

Question number: 76

» Probability » Probability Distributions » Random Vectors

MCQ▾

Question

The joint density function of two continuous random variables Equation and Equation is

Equation

What is the value of Equation ?

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

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 Equation parameters?

Choices

Choice (4) Response

a.

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

b.

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

c.

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

d.

All a. , b. and c. are correct

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