# ACET (Actuarial Common Entrance Test) Statistics: Questions 20 - 24 of 201

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## Question number: 20

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MCQ▾

### Question

If the coefficient of correlation between X and Y is 0.28, covariance between X and Y is 7.6 and the variance of x is 9, then the standard deviation of Y series is:

### Choices

Choice (4)Response

a.

9.05

b.

10.1

c.

10.05

d.

9.8

## Question number: 21

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MCQ▾

### Question

The average marks scored by 50 students in a class were calculated to be 38. Later it was found that the marks of one student was wrongly read as 14 instead of 41. Find the correct average marks.

### Choices

Choice (4)Response

a.

38.45

b.

38.54

c.

38.20

d.

38.7

## Question number: 22

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MCQ▾

### Question

Under which of the following circumstance, Binomial distribution is not used?

### Choices

Choice (4)Response

a.

When the number of trials is indefinitely large

b.

When the outcome of the random experiment results in the dichotomous events

c.

All the trials are independent

d.

All of the above

## Question number: 23

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MCQ▾

### Question

In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can two boys and two girls be selected?

### Choices

Choice (4)Response

a.

30

b.

90

c.

24

d.

Question does not provide sufficient data or is vague

## Question number: 24

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MCQ▾

### Question

A random variable X has the following probability distribution:

 X 1 2 3 4 5 6 7

Find

### Choices

Choice (4)Response

a.

b.

c.

d.

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