# ACET (Actuarial Common Entrance Test) Statistics: Questions 101 - 105 of 201

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## Question 101

### Question

MCQ▾

The average salary of a group of unskilled workers is ₹ . 10,000 and for a group of skilled workers is 15,000. Combined average salary is ₹ . 12,000. What is the percent of skilled workers?

### Choices

Choice (4)Response

a.

b.

c.

d.

None of the above

## Question 102

### Question

MCQ▾

For a bivariate data on X and Y, it is given that the correlation coefficient is , the variances of X and Y respectively are 25 and 36. The regression coefficient of X on Y is -

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 103

### Question

MCQ▾

One bag contains 5 white balls and 3 black balls and a second bag contains 2 white balls and 4 black balls. One ball drawn from the first bag and placed unseen in the second bag. What is the probability that a ball now drawn from second bag is black?

### Choices

Choice (4)Response

a.

b.

c.

d.

None of the above

## Question 104

### Question

MCQ▾

From a pack of 52 cards, two cards are drawn random successively with replacements. Find P (X = 1) if X represents the number of aces.

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 105

### Question

MCQ▾

The number of Kids in 10 families of a colony are plotted in the following dot diagram-

### Choices

Choice (4)Response

a.

The mean number of kids is smaller than the median and the mode

b.

The mean number of kids is greater than the median but lower than the mode

c.

The mean number of kids is smaller than the median but larger than the mode

d.

The mode of the kids is smaller than the median and the mean

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