ISS Statistics Paper I (New 2016 MCQ Pattern): Questions 336 - 338 of 404

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Question number: 336

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

MCQ▾

Question

Consider the following events and then choose the option in which the given events are same.

I) Xn does not converges to X as n .

II) Xn converges to X as n

III) For some ϵ>0, XnX >ϵ for infinitely many nN+

IV) For some ϵQ+, XnX <ϵ for infinitely many nN+ .

Choices

Choice (4) Response
a.

I and III

b.

II and III

c.

II and IV

d. None of the above

Question number: 337

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

MCQ▾

Question

Suppose now that X and Y are real-valued random variables for an experiment, so that (X,Y) is random vector taking values in a subset of R2. Suppose that a,b,c,dR with a<b and c<d . Then P(a<Xb,c<Yd)= ________.

Choices

Choice (4) Response
a.

F(b,d)F(a,d)+F(b,c)F(a,c)

b.

F(b,d)+F(a,d)F(b,c)+F(a,c)

c.

F(b,d)F(a,d)+F(b,c)+F(a,c)

d.

F(b,d)F(a,d)F(b,c)+F(a,c)

Question number: 338

» 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

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