Probability-Probability Distributions (ISS Statistics Paper I (New 2016 MCQ Pattern)): Questions 72 - 74 of 109

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Question number: 72

» Probability » Probability Distributions » Lognormal

MCQ▾

Question

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

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

All of the above

Question number: 73

» Probability » Probability Distributions » Joint and Marginal Distributions

MCQ▾

Question

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

X and Y are discrete random variables

Finding the correct probability distribution

x

-1

0

1

1

Equation

Equation

Equation

Y

0

Equation

0

Equation

-1

Equation

Equation

Equation

What is the value of Equation ?

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

All of the above

Question number: 74

» Probability » Probability Distributions » Lognormal

MCQ▾

Question

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

Choices

Choice (4) Response

a.

Equation increases and then decreases with mode at Equation

b.

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

c.

Equation as Equation and as Equation

d.

All a. , b. and c. are correct

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