Probability-Probability Distributions (ISS Statistics Paper I (New 2016 MCQ Pattern)): Questions 96 - 98 of 109

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Question number: 96

» Probability » Probability Distributions » Gamma

MCQ▾

Question

Which of the following is equivalent to Γ(2n+12) for nN .

Choices

Choice (4) Response

a.

(2n)!4nn!π2

b.

(n)!2nn!π2

c.

(2n)!2nn!π

d.

(2n)!4nn!π

Question number: 97

» Probability » Probability Distributions » Lognormal

MCQ▾

Question

A three-point estimate of a lognormal distribution parameters μR and σ(0,) is________.

Choices

Choice (4) Response

a.

μ=ln(median)+ln(mean)2 and σ2=12[ln(mean)+ln(median)]

b.

μ =2ln(median)+ln(mean)3 and σ2=13[ln(mean)ln(median)]

c.

μ =ln(median)+2ln(mean)3 and σ2=13[ln(mean)+ln(median)]

d.

μ =ln(median)+2ln(mean)3 and σ2=23[ln(mean)ln(median)]

Question number: 98

» Probability » Probability Distributions » Joint and Marginal Distributions

MCQ▾

Question

X is a continuous random variable with density function fX(x)=x+12 for 0<x<1. X is also jointly distributed with the continuous random variable Y , and the conditional density of Y given X=x is fY X(y X=x)=f(x,y)fX(x)=x+yx+12for0<x<1and0<y<1 . Find fY(y) for 0<y<1.

Choices

Choice (4) Response

a.

y+1

b.

y12

c.

y+12

d.

Question does not provide sufficient data or is vague

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