Probability-Probability Distributions (ISS Statistics Paper I (New 2016 MCQ Pattern)): Questions 1 - 5 of 109

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Question number: 1

» Probability » Probability Distributions » Poisson

MCQ▾

Question

The telegraph function has autocorrelation function of:

Choices

Choice (4) Response

a.

st

b.

1

c.

RX(τ)=e2c τ

d.

RX(τ)=e2c τ

Question number: 2

» Probability » Probability Distributions » Exponential

MCQ▾

Question

Suppose that X has the exponential distribution with rate parameter r>0 . Then which of the following statement is/are correct regarding it?

Choices

Choice (4) Response

a.

X has the geometric distributions on N with success parameter 1er .

b.

X has the geometric distributions on N+ with success parameter 1er .

c.

Both a. and b. are correct

d.

None of the above

Question number: 3

» Probability » Probability Distributions » Negative Binomial

MCQ▾

Question

Which of the following statement is/are correct?

Choices

Choice (4) Response

a.

Pascal distribution is a special case of negative binomial distribution on N with parameter k and p , when k is a positive integer.

b.

Pascal distribution is a special case of Normal distribution with parameter μandσ , when μ>0.

c.

The pdf of Pascal distribution is symmetric.

d.

All of the above

Question number: 4

» Probability » Probability Distributions » Uniform

MCQ▾

Question

If X~U(10, 12) , then what will be the standard deviation of Y=X2 ?

Choices

Choice (4) Response

a.

261.2

b.

59.8

c.

120.5

d.

161.4

Question number: 5

» Probability » Probability Distributions » Bernoulli

MCQ▾

Question

Which of the following is skewness of a standardized Bernoulli distributed random variable which takes the value 1 with success probability of p and the value 0 with failure probability of q ?

Choices

Choice (4) Response

a.

pq2pq

b.

qppq

c.

pqpq

d.

qp2pq

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