Probability (ISS Statistics Paper I (New 2016 MCQ Pattern)): Questions 89 - 92 of 205

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Question number: 89

» 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

Question number: 90

» Probability » Probability Distributions » Poisson

MCQ▾

Question

Suppose 1 in 5000 balls are defective. Let X denote the number of defective balls in a group of size 10000. What is the chance that at least 2 of them is defective?

Choices

Choice (4) Response

a.

12e2

b.

1e2

c.

3e2

d.

None of the above

Question number: 91

» Probability » Probability Distributions » Uniform

MCQ▾

Question

The average number of biscuits a ten-year old child eats per day is uniformly distributed from 2 to 5 biscuits, inclusive. Find the probability that a ten-year old child eats an average of more than three biscuits given that his or her amount is more than 2.5.

Choices

Choice (4) Response

a.

25

b.

23

c.

45

d.

None of the above

Question number: 92

» Probability » Probability Distributions » Normal

MCQ▾

Question

Suppose a sample of n=1200 bulbs of same type are obtained at random from an ongoing production process in which 10% of all such bulbs produced are defective. What is the probability that I such a sample 150 or fewer bulbs will be defective?

Choices

Choice (4) Response

a.

0.725

b.

0.975

c.

0.025

d.

0.535

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