ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 300 - 303 of 461

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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 and Y are discrete random variables

Finding the correct probability distribution

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

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