# ACET (Actuarial Common Entrance Test) Statistics: Questions 157 - 162 of 201

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## Question number: 157

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MCQ▾

### Question

The probability distribution of a discrete random variable X is given as under:

 X 1 2 4 2A 3A 5A P (X)

Calculate the value of A if

### Choices

Choice (4)Response

a.

5

b.

4

c.

2

d.

3

## Question number: 158

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MCQ▾

### Question

In a set of 10 coins, 2 coins are with heads on both the sides. A coin is selected at random from this set and tossed five times. If all the five times, the result was heads, find the probability that the selected coin has heads on both the sides?

### Choices

Choice (4)Response

a.

b.

c.

d.

1

## Question number: 159

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MCQ▾

### Question

If and , the correlation coefficient between random variables X and Y is

### Choices

Choice (4)Response

a.

b.

c.

d.

All of the above

## Question number: 160

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MCQ▾

### Question

X is a uniformly distributed random variable that takes values between 0 and 1. The value of will be

### Choices

Choice (4)Response

a.

0

b.

c.

d.

## Question number: 161

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MCQ▾

Find b if

### Choices

Choice (4)Response

a.

b.

6

c.

d.

2

## Question number: 162

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MCQ▾

### Question

Let A and B be two events such that , and , where stands for the complement of the event A. Then, the events A and B are

### Choices

Choice (4)Response

a.

Independent but not equally likely

b.

Independent and equally likely

c.

Mutually exclusive and independent

d.

Equally likely but not independent

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