Probability (ISS Statistics Paper I (New 2016 MCQ Pattern)): Questions 112 - 114 of 205

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Question number: 112

» 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

Question number: 113

» Probability » Probability Distributions » Joint and Marginal Distributions

MCQ▾

Question

If Equation is the density function for the joint distribution of the continuous random variables Equation and Equation defined over the unit square bounded by the points Equation and Equation then the value of Equation is ________.

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

None of the above

Question number: 114

» Probability » Probability Distributions » Random Vectors

MCQ▾

Question

The joint density function of two continuous random variables Equation and Equation is

Equation

What is the value of Equation ?

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

None of the above

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