Probability-Probability Distributions (ISS Statistics Paper I (New 2016 MCQ Pattern)): Questions 107 - 109 of 109

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Question number: 107

» Probability » Probability Distributions » Lognormal

MCQ▾

Question

Suppose that the income X 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 E(X) .

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 X and Y are independent continuous random variables with the following density functions:

fX(x)=1 for 0<x<1 and

fy(y)=2yfor0<y<1. What is the value of P[Y<X] ?

Choices

Choice (4) Response

a.

13

b.

25

c.

12

d.

23

Question number: 109

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

MCQ▾

Question

Let X be a random variable with support x[0, 1] and distribution function

FX(x)={

Then the distribution function of Y=X2 is ________.

Choices

Choice (4) Response

a.

FY(y)={

b.

FY(y)={

c.

FY(y)={

d.

All of the above

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