Probability (ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern)): Questions 153 - 156 of 205

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Question number: 153

» Probability » Probability Distributions » Lognormal

MCQ▾

Question

Suppose that the income Equation 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 Equation .

Choices

Choice (4) Response

a.

12.1825

b.

6.1255

c.

8.5063

d.

All of the above

Question number: 154

» Probability » Probability Distributions » Joint and Marginal Distributions

MCQ▾

Question

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

Equation for Equation and

Equation What is the value of Equation ?

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 155

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

MCQ▾

Question

Let Equation be a random variable with support Equation and distribution function

Equation

Then the distribution function of Equation is ________.

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

All of the above

Question number: 156

» Probability » Modes of Convergences of Sequences of Random Variables » With Probability One

MCQ▾

Question

If Equation in probability, then there exists a subsequence Equation of Equation such that ________.

Choices

Choice (4) Response

a.

Equation almost everywhere

b.

Equation as Equation with probability 1.

c.

Equation in the Equation -th mean

d.

Question does not provide sufficient data or is vague

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