ISS Statistics Paper I (New 2016 MCQ Pattern): Questions 339 - 341 of 404

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Question number: 339

» 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: 340

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

MCQ▾

Question

Let Xn=1n for nN+ and let X=0. Let fn and f be the corresponding probability density functions and let Fn and F be the corresponding distribution functions. Then which of the following option is/are correct?

Choices

Choice (4) Response

a.

Fn(x)1 as n for all xR

b.

Fn(x){ as n

c.

Fn(x)F(x) as n for all x0

d.

None of the above

Question number: 341

» 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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