ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 300 - 303 of 471

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Question number: 300

» Probability » Probability Distributions » Lognormal

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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.

None of the above

Question number: 301

» Probability » Probability Distributions » Joint and Marginal Distributions

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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.

None of the above

Question number: 302

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

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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.

as in probability

c.

almost everywhere

d.

None of the above

Question number: 303

» Probability » Probability Distributions » Lognormal

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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.

as and as

b.

increases and then decreases with mode at

c.

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

d.

All a. , b. and c. are correct