# ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 254 - 258 of 471

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## 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

## Question number: 256

» Probability » Probability Distributions » Cauchy

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MCQ▾

### Question

The characteristic function of standard Cauchy distribution is ________.

### Choices

Choice (4) Response

a.

b.

c.

d.

Question does not provide sufficient data or is vague

## Question number: 257

» Probability » Probability Distributions » Binomial

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MCQ▾

### Question

Which of the following statement is/are correct regarding De Moivre–Laplace theorem?

### Choices

Choice (4) Response

a.

It is valid for very large values of n.

b.

It states that the normal distribution may be used as an approximation to the binomial distribution.

c.

It is a special case of the Chebyshev’s inequality.

d.

All of the above

## Question number: 258

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MCQ▾

### Question

A biased coin (with probability of obtaining a Head equal to p > 0) is tossed repeatedly and independently until the first head is observed. What is the probability that the first head appears at an even numbered toss?

### Choices

Choice (4) Response

a.

b.

c.

d.