Probability (ISS Statistics Paper I (New 2016 MCQ Pattern)): Questions 58 - 61 of 205

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Question number: 58

» Probability » Probability Distributions » Laplace

MCQ▾

Question

The characteristic function of standard Laplace distribution is ________

Choices

Choice (4) Response

a.

11t2

b.

11+t2

c.

11t2

d.

11+t2

Question number: 59

» Probability » Probability Distributions » Negative Binomial

MCQ▾

Question

Suppose that X and Y are independent random variables for an experiment, and that X~ Negative Binomial distribution (j,p) and Y~ Negative Binomial distribution (k,p) . Then

Choices

Choice (4) Response

a.

Binomial distribution (k+j2,p)

b.

Negative Binomial distribution (k+j2,p)

c.

Negative Binomial distribution (k+j2,1p)

d.

None of the above

Question number: 60

» Probability » Probability Distributions » Cauchy

MCQ▾

Question

Which of the following statement is correct regarding the pdf of standard Cauchy distribution?

Choices

Choice (4) Response

a.

It increases and then decreases, with mean x=0 .

b.

It is concave upward, then downward, and then upward again, with inflection points at x=±12 .

c.

It is symmetric about its mean.

d.

None of the above

Question number: 61

» Probability » Probability Distributions » Normal

MCQ▾

Question

If X1,X2,X3,X4,X5 are i. i. d with standard normal distributions, the value of c so that the random variable c(X1+X2)X32+X42+X52 has a t-distribution is________.

Choices

Choice (4) Response

a.

c=23

b.

c=32

c.

c=12

d.

All of the above

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