# ACET (Actuarial Common Entrance Test) Statistics: Questions 44 - 49 of 201

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## Question 44

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### Question

MCQ▾

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 45

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### Question

MCQ▾

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 46

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### Question

MCQ▾

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 47

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### Question

MCQ▾

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 48

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### Question

MCQ▾

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 49

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### Question

MCQ▾

Coefficient of variation can be calculated by

### Choices

Choice (4)Response
a.
b.
c.
d.