# ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 300 - 303 of 472

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## Question number: 300

» Probability » Modes of Convergences of Sequences of Random Variables » In Distribution

MCQ▾

### Question

Suppose that has the discrete uniform distribution on for each and let denote the probability density function of Let have the continuous uniform distribution on the interval . Then which of the following is correct option?

### Choices

Choice (4) Response

a.

for each but

b.

The distribution of converges to the distribution of as

c.

as for all

d.

All a. , b. and c. are correct

## Question number: 301

» Probability » Probability Distributions » Lognormal

MCQ▾

### Question

Suppose that has the lognormal distribution with parameters and . The distribution of is a 2-parameter exponential family with natural statistics given by________.

### Choices

Choice (4) Response

a.

b.

c.

d.

All of the above

## Question number: 302

» Probability » Probability Distributions » Joint and Marginal Distributions

MCQ▾

### Question

and are discrete random variables which are jointly distributed with the following probability function

 x -1 0 1 1 Y 0 0 -1

What is the value of ?

### Choices

Choice (4) Response

a.

b.

c.

d.

All of the above

## Question number: 303

» Probability » Modes of Convergences of Sequences of Random Variables » In Distribution

MCQ▾

### Question

Suppose that is a sequence of random variables (defined on the same probability space) and that the distribution of converges to the distribution of the constant . Then________.

### Choices

Choice (4) Response

a.

as -th mean

b.

almost everywhere

c.

as in probability

d.

All of the above