Probability (ISS Statistics Paper I (New 2016 MCQ Pattern)): Questions 30 - 34 of 205

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Question number: 30

» Probability » Probability Distributions » Uniform

MCQ▾

Question

The characteristic function of uniform [0,1] distribution is________.

Choices

Choice (4) Response

a.

icost+sintt

b.

iicost+sintt

c.

iisint+costt

d.

icostsintt

Question number: 31

» Probability » Classical and Axiomatic Definitions

MCQ▾

Question

If someone makes a statement “Probability of Radha going to market tomorrow is 60 % ”, then he/she is using which of the following perspective of calculating probability?

Choices

Choice (4) Response

a.

Axiomatic

b.

Subjective

c.

Classical

d.

All of the above

Question number: 32

» Probability » Law of Total Probability

MCQ▾

Question

When a collection of events {S1,S2,,Sn} of a certain sample space (or population) S is called a partition?

Choices

Choice (4) Response

a.

S1,S2,,Sn are mutually exclusive events.

b.

S1S2Sn=S .

c.

A and B holds.

d.

All of the above

Question number: 33

» Probability » Probability Distributions » Laplace

MCQ▾

Question

The entropy of a Laplace variable with the following c. d. f is ________

F(x;θ,s)={

Choices

Choice (4) Response

a.

log(2s)+1

b.

log(2s)2

c.

log(2s)

d.

log(2s)+2

Question number: 34

» Probability » Probability Distributions » Rectangular

MCQ▾

Question

If X1,X2,,Xn be independent random variables, with Xi having an Exponential(λi) distribution. Then the P[min(X1,,Xn)=Xi] is ________.

Choices

Choice (4) Response

a.

λiλ1++λn

b.

(λiλ1++λn)n

c.

1λiλ1++λn

d.

All of the above

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