# 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 | |
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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 | |
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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 | |
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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 | |
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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 |