Probability (ISS Statistics Paper I (New 2016 MCQ Pattern)): Questions 168 - 171 of 205

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Question number: 168

» Probability » Characteristic Function

MCQ▾

Question

Let random variables Equation , Equation be independent Poisson random variables. So if Equation then, which of the following is the characteristic function of Equation if Equation ?

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

All of the above

Question number: 169

» Probability » Mathematical Expectation and Conditional Expectation

MCQ▾

Question

Let Equation and Equation be independent; each is uniformly distributed on Equation Let Equation , then Equation ________.

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

1

d.

Equation

Question number: 170

» Probability » Moment and Probability Generating Functions

MCQ▾

Question

If Equation and Equation are independent discrete random variables with the non-negative integers Equation as range, and with distribution function Equation then, what is the distribution of Equation ?

Choices

Choice (4) Response

a.

Poission distribution

b.

Geometric distribution

c.

Negative binomial distribution

d.

None of the above

Question number: 171

» Probability » Moment and Probability Generating Functions

MCQ▾

Question

Let Equation be independent count r. v. s. If the Equation are identically distributed, each with Probability generating function Equation then Equation has Probability generating function________.

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

None of the above

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