# ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 251 - 255 of 472

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## Question number: 251

» Probability » Probability Distributions » Cauchy

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MCQ▾

### Question

Which of the following statement is correct regarding the pdf of standard Cauchy distribution?

### Choices

Choice (4)Response

a.

It increases and then decreases, with mean .

b.

It is concave upward, then downward, and then upward again, with inflection points at .

c.

It is symmetric about its mean.

d.

None of the above

## Question number: 252

» Probability » Probability Distributions » Normal

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MCQ▾

### Question

If are i. i. d with standard normal distributions, the value of so that the random variable has a t-distribution is________.

### Choices

Choice (4)Response

a.

b.

c.

d.

All of the above

## Question number: 253

» Probability » Probability Distributions » Laplace

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MCQ▾

### Question

The moment generating function of standard Laplace distribution is ________,

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 254

» Probability » Probability Distributions » Binomial

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MCQ▾

### Question

The ratio of boys to girls at birth in Malda is at 1.05: 1. What proportion of Malda families with exactly 4 children will have exactly 2 boys? (Ignore the probability of multiple births. )

### Choices

Choice (4)Response

a.

0.5324

b.

0.4266

c.

0.2788

d.

0.3745

## Question number: 255

» Probability » Probability Distributions » Binomial

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MCQ▾

### Question

Hospital records show that of patients suffering from a certain disease, 85 % die of it. What is the probability that of 5 randomly selected patients, 4 will recover?

### Choices

Choice (4)Response

a.

0.0021

b.

0.0454

c.

0.0254

d.

All of the above

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