ISS (Statistical Services) Statistics Paper I: Questions 401 - 404 of 1595

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Question 401

Question MCQ▾

If has the standard Cauchy distribution and that and . Then satisfy following options:

Choices

Choice (4)Response

a.

It has distribution function

b.

It has pdf

c.

None of the above

d.

All of the above

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Question 402

Question MCQ▾

Suppose 1 in 5000 balls are defective. Let 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.

b.

c.

d.

None of the above

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Question 403

Question MCQ▾

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.

b.

c.

d.

Question does not provide sufficient data or is vague

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Question 404

Question MCQ▾

Suppose a sample of bulbs of same type are obtained at random from an ongoing production process in which 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.

0.975

b.

0.535

c.

0.725

d.

0.025

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