ISS Statistics Paper I (New 2016 MCQ Pattern): Questions 350 - 353 of 404

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Question number: 350

» Probability » Probability Distributions » Beta

MCQ▾

Question

If X has the F distribution with n>0 degrees of freedom in the numerator and d>0 degrees of freedom in the denominator then, Y=(nd)X1+(nd)X will follow ________ distribution.

Choices

Choice (4) Response

a.

N(0,nd)

b.

Chisquare with n degrees of freedom.

c.

Beta(n2,d2)

d.

Question does not provide sufficient data or is vague

Question number: 351

» Probability » Probability Distributions » Distributions of Functions of Random Variables

MCQ▾

Question

Suppose X1 and X2 are independent exponential random variables with parameter λ=1 . If Y1=X1X2,Y2=X1+X2 . Then the marginal distribution of Y1 or Y2 will follow ________.

Choices

Choice (4) Response

a.

Exponential distribution with parameter λ=2

b.

Poisson distribution with parameter λ=2

c.

Exponential distribution with parameter λ=1

d.

None of the above

Question number: 352

» Probability » Probability Distributions » Lognormal

MCQ▾

Question

Suppose that the income X of a randomly chosen person in a certain population (in $1000 units) has the lognormal distribution with parameters μ=2 and σ = 1. Find the value of E(X) .

Choices

Choice (4) Response

a.

12.1825

b.

6.1255

c.

8.5063

d.

All of the above

Question number: 353

» Probability » Probability Distributions » Joint and Marginal Distributions

MCQ▾

Question

Suppose that X and Y are independent continuous random variables with the following density functions:

fX(x)=1 for 0<x<1 and

fy(y)=2yfor0<y<1. What is the value of P[Y<X] ?

Choices

Choice (4) Response

a.

13

b.

25

c.

12

d.

23

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