ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 308 - 311 of 469

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Question number: 308

» 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: 309

» 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: 310

» 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

Question number: 311

» Probability » Probability Distributions » Lognormal

MCQ▾

Question

Which of the following properties is/are satisfied by the probability density function of the lognormal distribution with parameters and .

Choices

Choice (4) Response

a.

increases and then decreases with mode at

b.

is concave upward then downward then upward again, with inflection points at

c.

as and as

d.

All a. , b. and c. are correct

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