Probability-Distribution Functions and Properties (ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern)): Questions 7 - 11 of 11

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Question number: 7

» Probability » Distribution Functions and Properties

MCQ▾

Question

Let X be a continuous random variable with the following PDF

Equation

where, Equation is a positive constant. The value of Equation is?

Choices

Choice (4) Response

a.

1

b.

Equation

c.

2

d.

None of the above

Question number: 8

» Probability » Distribution Functions and Properties

MCQ▾

Question

Which of the following options could be the example of cumulative distribution function?

Understanding the various cumulative distribution functions

Understanding the Various Cumulative Distribution Functions

Knowing the various curves and cumulative distributions

Choices

Choice (4) Response

a.

A, B and C

b.

A, B and D

c.

C and D

d.

None of the above

Question number: 9

» Probability » Distribution Functions and Properties

MCQ▾

Question

Let Equation be defined as follows:

Equation

For Equation to be a cumulative distribution function, given Equation is positive, following statement is correct:

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

None of the above

d.

All of the above

Question number: 10

» Probability » Distribution Functions and Properties

MCQ▾

Question

Which of the following statement is/are incorrect regarding a cumulative distribution function Equation ?

Choices

Choice (4) Response

a.

Equation can have only jump discontinuities.

b.

Equation is continuous from the right.

c.

Equation have countable number of discontinuities.

d.

None of the above

Question number: 11

» Probability » Distribution Functions and Properties

MCQ▾

Question

Which of the following is/are not correct regarding cumulative distribution function?

Choices

Choice (4) Response

a.

Two random variables cannot have same cumulative distribution function.

b.

Two different cumulative distribution functions cannot correspond to single random variable.

c.

Question does not provide sufficient data or is vague

d.

None of the above

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