Probability-Probability Distributions (ISS Statistics Paper I (New 2016 MCQ Pattern)): Questions 55 - 57 of 109

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Question number: 55

» Probability » Probability Distributions » Poisson

MCQ▾

Question

Twenty sheets of copper alloy were examined for surface flaws. The frequency of the number of sheets with a given number of flaws per sheet was as follows:

Table shows the number of flaws and frequency

Find out the probability

Number of flaws

Frequency

0

4

1

3

2

5

3

2

4

4

5

1

What is the probability of finding a sheet chosen at random which contains 3 or more surface flaws?

Choices

Choice (4) Response
a.

0.4522

b.

0.3233

c.

0.6522

d. Question does not provide sufficient data or is vague

Question number: 56

» Probability » Probability Distributions » Bernoulli

MCQ▾

Question

Consider {Xn} be a sequence of Bernoulli distribution. Which of the following two statements are correct regarding {Xn} if any measurable set AΩ ?

Statement 1: P((Xn+1,Xn+2,)A X1,,Xn)= P((Xn+1,Xn+2,)A)

Statement 2: P((Xn+1,Xn+2,)A X1,,Xn)=P((X1,X2,)A)

Choices

Choice (4) Response
a.

Only Statement 2 is correct.

b.

Only Statement 1 is correct.

c.

Neither Statement 1 nor Statement 2 is correct.

d. Both a. and b. are correct

Question number: 57

» Probability » Probability Distributions » Cauchy

MCQ▾

Question

If Z has the standard Cauchy distribution and that aR and b(0,) . Then ,X=a+bZ satisfy following options:

Choices

Choice (4) Response
a.

It has distribution function F(x)=12+1Πarctan(xba),xR

b.

It has pdf f(x)=1Π(a2+(xb)2),xR

c. None of the above
d. All of the above

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