Probability-Moment and Probability Generating Functions (ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern)): Questions 1 - 4 of 7

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Question number: 1

» Probability » Moment and Probability Generating Functions

MCQ▾

Question

For a random variable Equation , if we have the moment generating function Equation , for Equation . Then the distribution of Equation is ________.

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Question does not provide sufficient data or is vague

Question number: 2

» Probability » Moment and Probability Generating Functions

MCQ▾

Question

If Equation and Equation are independent discrete random variables with the non-negative integersEquation 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: 3

» 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

Question number: 4

» Probability » Moment and Probability Generating Functions

MCQ▾

Question

Suppose that Equation and Equation are independent random variables taking values in N, with probability generating functions Equation and Equation having radii of convergence Equation and Equation , respectively. Then the probability generating function Equation of Equation is given by________ for Equation Equation .

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

None of the above

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