# Probability (ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern)): Questions 63 - 67 of 205

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## Question number: 63

» Probability » Probability Distributions » Binomial

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 at least 2 boys? (Ignore the probability of multiple births. )

### Choices

Choice (4) Response

a.

0.5324

b.

0.2788

c.

0.3745

d.

0.4266

## Question number: 64

» Probability » Probability Distributions » Binomial

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.

Question does not provide sufficient data or is vague

## Question number: 65

» Probability » Probability Distributions » Cauchy

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: 66

» Probability » Probability Distributions » Binomial

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 is a special case of the Chebyshev’s inequality.

c.

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

d.

None of the above

## Question number: 67

» Probability » Law of Total Probability

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.

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