Probability-Probability Distributions (ISS Statistics Paper I (New 2016 MCQ Pattern)): Questions 6 - 10 of 109

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Question number: 6

» Probability » Probability Distributions » Exponential

MCQ▾

Question

The moment generating function of an exponential random variable X with parameter λ (for t < 1/λ) is:

Choices

Choice (4) Response

a.

λt1λt

b.

11λt

c.

λ1λt

d.

All of the above

Question number: 7

» Probability » Probability Distributions » Normal

MCQ▾

Question

Suppose marks of students in a test are normally distributed. If the test has a mean of 100 and a standard deviation of 10, what is the probability that a student who gives the test will score between 90 and 110?

Choices

Choice (4) Response

a.

0.84

b.

0.68

c.

0.16

d.

All of the above

Question number: 8

» Probability » Probability Distributions » Rectangular

MCQ▾

Question

Which of the following statement is/are not correct regarding a random variable?

Choices

Choice (4) Response

a.

A random variable can be uniformly distributed in (0,a)andlima=

b.

A random variable can be uniformly distributed in ( b,b)andlimb= .

c.

Both a. and b. are correct

d.

None of the above

Question number: 9

» Probability » Probability Distributions » Binomial

MCQ▾

Question

Let X~ binomial distribution B(n,p) . Let q=1p , the moment generating function of X is________?

Choices

Choice (4) Response

a.

(1q+pet)n

b.

(q+pet)n

c.

(p+qet)n

d.

None of the above

Question number: 10

» Probability » Probability Distributions » Hypergeometric

MCQ▾

Question

If the population size is N and the sample size is n , then the value of finite population correction factor is ________.

Choices

Choice (4) Response

a.

nN1

b.

Nn

c.

(Nn)(N1)

d.

Question does not provide sufficient data or is vague

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