ISS Statistics Paper I (New 2016 MCQ Pattern): Questions 284 - 287 of 404

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Question number: 284

» Probability » Probability Distributions » Negative Binomial

MCQ▾

Question

In a sequence of independent Bernoulli (p) trails, if X denotes the number of failures before rth (fixed) success, then the expected value of X will be ________

Choices

Choice (4) Response

a.

r(1p)p2

b.

rp(1p)

c.

r(1p)p

d.

Question does not provide sufficient data or is vague

Question number: 285

» 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: 286

» Probability » Classical and Axiomatic Definitions

MCQ▾

Question

Suppose we are tossing a fair die. If we say each of these outcomes has probability 1/6 then which perspective of probability are we using?

Choices

Choice (4) Response

a.

Classical and Empirical

b.

Empirical

c.

Classical

d.

None of the above

Question number: 287

» 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

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