# Probability (ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern)): Questions 151 - 154 of 205

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## Question number: 151

» Probability » Probability Distributions » Beta

MCQ▾

### Question

If has the distribution with degrees of freedom in the numerator and degrees of freedom in the denominator then, will follow ________ distribution.

### Choices

Choice (4) Response

a.

b.

with degrees of freedom.

c.

d.

Question does not provide sufficient data or is vague

## Question number: 152

» 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: 153

» 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: 154

» 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.

f Page