# ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 347 - 350 of 472

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## Question number: 347

» 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: 348

» 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.

in the -th mean

b.

almost everywhere

c.

as with probability 1.

d.

Question does not provide sufficient data or is vague

## Question number: 349

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: 350

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