# ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 286 - 289 of 471

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## Question number: 286

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MCQ▾

### Question

Suppose there is a school with 40 % boys and 60 % girls as its students. The female students wear trousers or skirts in equal numbers; the boys all wear trousers. An observer sees a (random) student from a distance, and what the observer can see is that this student is wearing trousers. What is the probability this student is a girl?

### Choices

Choice (4) Response

a.

0.428

b.

0.250

c.

0.552

d.

All of the above

## Question number: 287

» Probability » Probability Distributions » Negative Binomial

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MCQ▾

### Question

A standard, fair die is thrown until 5 sixes occur. Let denote the number of throws. Then variance of is ________.

### Choices

Choice (4) Response

a.

250

b.

900

c.

150

d.

All of the above

## Question number: 288

» Probability » Probability Distributions » Hypergeometric

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MCQ▾

### Question

Which of the following statement is correct regarding Hyper geometric distribution?

### Choices

Choice (4) Response

a.

Each individual of a population can be characterized as a success (S) or failure (F).

b.

The population or set to be sampled consists of infinite number of elements.

c.

Hypergeometric random variable has larger variance than binomial random variable.

d.

Question does not provide sufficient data or is vague

## Question number: 289

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MCQ▾

### Question

Consider the college applicant who has determined that he has 0.80 probability of acceptance and that only 60 % of the accepted students will receive dormitory housing. Of the accepted students who receive dormitory housing, 80 % will have at least one roommate. What is the probability of being accepted and receiving dormitory housing and having no roommates?

### Choices

Choice (4) Response

a.

0.085

b.

0.096

c.

0.074

d.

0.088