# ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 283 - 286 of 472

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## Question number: 283

» Probability » Probability Distributions » Normal

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MCQ▾

### Question

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

## Question number: 284

» Probability » Probability Distributions » Binomial

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MCQ▾

### Question

Examine the following curves and choose the incorrect option regarding them.

### Choices

Choice (4)Response

a.

A and B both follows binomial distribution

b.

A and B have same small value of the number of independent trials.

c.

B have large probability of success.

d.

None of the above

## Question number: 285

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MCQ▾

### Question

Which of the following is/are not correct regarding cumulative distribution function?

### Choices

Choice (4)Response

a.

Two random variables cannot have same cumulative distribution function.

b.

Two different cumulative distribution functions cannot correspond to single random variable.

c.

Question does not provide sufficient data or is vague

d.

All of the above

## 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

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