ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 342 - 345 of 471

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Question number: 342

» Probability » Probability Distributions » Beta

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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.

All of the above

Question number: 343

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

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Question

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

Choices

Choice (4) Response

a.

Poisson distribution with parameter

b.

Exponential distribution with parameter

c.

Exponential distribution with parameter

d.

None of the above

Question number: 344

» Probability » Probability Distributions » Lognormal

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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.

8.5063

b.

12.1825

c.

6.1255

d.

All of the above

Question number: 345

» Probability » Probability Distributions » Joint and Marginal Distributions

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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.