# ACET (Actuarial Common Entrance Test) Statistics: Questions 1 - 5 of 201

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## Question 1

### Question

MCQ▾A fair coin is tossed 10 times. Find the probability of getting exactly 6 heads.

### Choices

Choice (4) | Response | |
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a. | ||

b. | ||

c. | ||

d. |

## Question 2

### Question

MCQ▾A checkout counter at a supermarket completes the process according to an exponential distribution with a service rate of 6 per hour. A customer arrives at the checkout counter. The probability that the service is completed in fewer than five minutes will be given by-

### Choices

Choice (4) | Response | |
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a. | ||

b. | ||

c. | ||

d. | Question does not provide sufficient data or is vague |

## Question 3

### Question

MCQ▾A bank has an average random arrival rate of 3.2 customers every 4 minutes. What is the probability of getting exactly 10 customers during an 8-minute interval?

### Choices

Choice (4) | Response | |
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a. | ||

b. | ||

c. | ||

d. |

## Question 4

### Question

MCQ▾Ten players of Team A made an average of 63 runs, ten players of team B made an average of 77 runs and ten players of Team C made an average of 70 runs. The average run made by all the three teams is

### Choices

Choice (4) | Response | |
---|---|---|

a. | 100 | |

b. | 75 | |

c. | 70 | |

d. | 60 |

## Question 5

### Question

MCQ▾For two series X and Y which are correlated, the lines of regression of Y on X and X on Y are respectively and, also find

### Choices

Choice (4) | Response | |
---|---|---|

a. | 3 | |

b. | 4 | |

c. | 2 | |

d. | 1 |