Probability-Probability Distributions (ISS Statistics Paper I (New 2016 MCQ Pattern)): Questions 104 - 106 of 109

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Question number: 104

» Probability » Probability Distributions » Gamma

MCQ▾

Question

A chi-square (with Equation degree of freedom) probability density function satisfies which of the following property/properties?

Choices

Choice (4) Response

a.

If Equation then Equation is decreasing with Equation

b.

If Equation , then Equation is concave downward.

c.

If Equation , Equation is increasing with Equation as Equation .

d.

All a. , b. and c. are correct

Question number: 105

» Probability » Probability Distributions » Beta

MCQ▾

Question

If Equation has the Equation distribution with Equation degrees of freedom in the numerator and Equation degrees of freedom in the denominator then, Equation will follow ________ distribution.

Choices

Choice (4) Response

a.

Equation

b.

Equation with Equation degrees of freedom.

c.

Equation

d.

Question does not provide sufficient data or is vague

Question number: 106

» Probability » Probability Distributions » Distributions of Functions of Random Variables

MCQ▾

Question

Suppose Equation and Equation are independent exponential random variables with parameter Equation . If Equation . Then the marginal distribution of Equation or Equation will follow ________.

Choices

Choice (4) Response

a.

Exponential distribution with parameter Equation

b.

Poisson distribution with parameter Equation

c.

Exponential distribution with parameter Equation

d.

None of the above

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