# ACET (Actuarial Common Entrance Test) Statistics: Questions 139 - 145 of 201

Access detailed explanations (illustrated with images and videos) to 201 questions. Access all new questions- tracking exam pattern and syllabus changes. View the complete topic-wise distribution of questions. Unlimited Access for Unlimited Time!

View Sample Explanation or View Features.

Rs. 200.00 or

How to register?

## Question number: 139

Edit
MCQ▾

### Question

In a binomial distribution, the mean is three times its variance. What is the probability of exactly 3 successes out of 4 trials?

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 140

Edit
MCQ▾

### Question

In a meeting 30 % members don’t favour certain proposal while 70 % do. A member is selected at random. Let X = 0 be if opposed, X = 1 is favour. Find Var (X).

### Choices

Choice (4)Response

a.

0.49

b.

c.

d.

0.21

## Question number: 141

Edit
MCQ▾

### Question

Let X be a continuous random variable with probability density function (pdf)

Find

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 142

Edit
MCQ▾

### Question

X is a random variable with range (0,1) and probability density function (pdf) What is the value of C?

### Choices

Choice (4)Response

a.

1

b.

4

c.

2

d.

3

## Question number: 143

Edit
MCQ▾

### Question

The continuous random variable X has a probability density function f (x) given by:

Where k is constant.

Find the mean of X

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 144

Edit
MCQ▾

If , find n.

### Choices

Choice (4)Response

a.

3

b.

4

c.

7

d.

6

## Question number: 145

Edit
MCQ▾

### Question

In a series of 3 independent trials, the probability of exactly two successes is 12 times as large as the probability of 3 successes. The probability of a success in each trial is

### Choices

Choice (4)Response

a.

b.

c.

d.

Developed by: