Probability (ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern)): Questions 155 - 158 of 205

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Question number: 155

» 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

Question number: 156

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

MCQ▾

Question

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

Choices

Choice (4) Response

a.

almost everywhere

b.

as with probability 1.

c.

in the -th mean

d.

Question does not provide sufficient data or is vague

Question number: 157

» Probability » Inversion

MCQ▾

Question

Let be a real random variable whose characteristic function is integrable over so . Then has a bounded continuous density on given by________.

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 158

» Probability » Moment and Probability Generating Functions

MCQ▾

Question

For a random variable , if we have the moment generating function , for . Then the distribution of is ________.

Choices

Choice (4) Response

a.

b.

c.

d.

Question does not provide sufficient data or is vague

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