# ACET (Actuarial Common Entrance Test) Statistics: Questions 44 - 49 of 81

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## Question number: 44

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MCQ▾

### Question

When regression line passes through the origin then,

### Choices

Choice (4)Response

a.

Intercept is zero

b.

Regression coefficient is zero

c.

Correlation is zero

d.

Association is zero

## Question number: 45

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MCQ▾

### Question

How many 5 digit numbers can be formed using the digits 0,3, 5,7 & 9 which are divisible by 10 and no digits is repeated?

### Choices

Choice (4)Response

a.

100

b.

120

c.

24

d.

6

## Question number: 46

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MCQ▾

### Question

The arrival rate of customers at a service window of cinema hall follows a probability distribution with a mean rate of 45 per hour. If the service rate of the clerk follows Poisson distribution, with a mean of 60 per hours, what is the probability of having no customer in the system?

### Choices

Choice (4)Response

a.

0.75

b.

0.60

c.

0.25

d.

0.45

## Question number: 47

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MCQ▾

### Question

A machine on an average produces 5 % defective items. What are the mean and variance in a set of 32 items?

### Choices

Choice (4)Response

a.

4,16

b.

16,8

c.

16,4

d.

None of the above

## Question number: 48

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MCQ▾

### Question

The probability of raining on Sunday is 0.07. If today is Sunday, what is the probability that it rains today?

### Choices

Choice (4)Response

a.

0.07

b.

1/7

c.

1

d.

0.49

## Question number: 49

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MCQ▾

### Question

Coefficient of variation can be calculated by

### Choices

Choice (4)Response

a.

b.

c.

d.

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