Probability-Moment and Probability Generating Functions (ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern)): Questions 5 - 7 of 7

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Question number: 5

» Probability » Moment and Probability Generating Functions

MCQ▾

Question

A hen lays Equation eggs, where Equation . Each egg hatches with probability Equation , independently of the other eggs. Find the probability distribution of number of chicks, Equation

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Question does not provide sufficient data or is vague

Question number: 6

» Probability » Moment and Probability Generating Functions

MCQ▾

Question

Suppose thatEquation is a random variable taking values in N. The probability generating function Equation of Equation will satisfy the following properties.

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

All of the above

Question number: 7

» Probability » Moment and Probability Generating Functions

MCQ▾

Question

If Equation and Equation are independent, then what is the distribution of Equation ?

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

None of the above

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