Probability-Probability Distributions (ISS Statistics Paper I (New 2016 MCQ Pattern)): Questions 48 - 50 of 109

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Question number: 48

» Probability » Probability Distributions » Multinomial

MCQ▾

Question

If X1,X2,,Xk are independent Poisson random variables such that, X1~P(λ1),,Xk~P(λk) then the conditional distribution of vector X=(X1,X2,,Xk) with n=X1+X2++Xk will follow

Choices

Choice (4) Response

a.

Bin(n,π)whereπ=λ1+λ2++λk

b.

Bin(n,π)whereπ=λ1+λ2++λkn

c.

Mult(n,π)whereπ=(π1,π2,,πk)andπj=λjλ1+λ2++λk

d.

Question does not provide sufficient data or is vague

Question number: 49

» Probability » Probability Distributions » Laplace

MCQ▾

Question

Which of the following statement is/are always correct regarding the probability density function of a Laplace distribution?

Choices

Choice (4) Response

a.

It is symmetric about 0.

b.

It increases on (,0] and decreases on [0,) , with mode 0.

c.

It is concave upward on (,0] and on [0,) with a cusp at 0.

d.

None of the above

Question number: 50

» Probability » Probability Distributions » Negative Binomial

MCQ▾

Question

Reshma is a basketball player. She is 60% free throw shooter. What is the probability that Reshma makes her third free throw on her fifth shot?

Choices

Choice (4) Response

a.

0.414

b.

0.207

c.

0.185

d.

0.735

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