# ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 287 - 290 of 472

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## Question 287

### Question

MCQ▾

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 288

### Question

MCQ▾

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 289

### Question

MCQ▾

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

## Question 290

### Question

MCQ▾

An urn contain 20 balls out of which 8 are black and 12 are white. 5 balls are selected without replacement, then what is the probability that exactly 2 balls are white balls?

### Choices

Choice (4)Response

a.

0.238

b.

0.636

c.

0.827

d.

0.542