Probability-Probability Distributions (ISS Statistics Paper I (New 2016 MCQ Pattern)): Questions 5 - 9 of 109

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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 Equation and the value 0 with failure probability of Equation ?

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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.

Equation

b.

Equation

c.

Equation

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 Equation

b.

A random variable can be uniformly distributed in ( Equation .

c.

Both a. and b. are correct

d.

None of the above

Question number: 9

» Probability » Probability Distributions » Binomial

MCQ▾

Question

Let Equation binomial distribution Equation . Let Equation , the moment generating function of Equation is________?

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

None of the above

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