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

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Question number: 106

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

MCQ▾

Question

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

Choices

Choice (4) Response

a.

Exponential distribution with parameter

b.

Poisson distribution with parameter

c.

Exponential distribution with parameter

d.

None of the above

Question number: 107

» Probability » Probability Distributions » Lognormal

MCQ▾

Question

Suppose that the income of a randomly chosen person in a certain population (in $1000 units) has the lognormal distribution with parameters μ=2 and σ = 1. Find the value of .

Choices

Choice (4) Response

a.

12.1825

b.

6.1255

c.

8.5063

d.

All of the above

Question number: 108

» Probability » Probability Distributions » Joint and Marginal Distributions

MCQ▾

Question

Suppose that and are independent continuous random variables with the following density functions:

for and

What is the value of ?

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 109

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

MCQ▾

Question

Let be a random variable with support and distribution function

Then the distribution function of is ________.

Choices

Choice (4) Response

a.

b.

c.

d.

All of the above

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