# ACET (Actuarial Common Entrance Test) Statistics: Questions 89 - 93 of 201

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## Question 89

### Question

MCQ▾The mean of getting tails in two tosses of a coin is –

### Choices

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

a. | ||

b. | 1 | |

c. | ||

d. |

## Question 90

### Question

MCQ▾Which pair of averages cannot be calculated when one of the numbers in the series is zero?

### Choices

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

a. | Harmonic mean and Mode | |

b. | Geometric mean and Median | |

c. | Simple mean and Weighted mean | |

d. | Geometric mean and Harmonic mean |

## Question 91

### Question

MCQ▾The joint distribution of the discrete random variables X and X is as described below.

Values of | X | |||

0 | 1 | 2 | ||

Y | 3 | 0.1 | a | 0.2 |

4 | b | 0.2 | c |

In order that X and X are independent, the values of X, X and X must be respectively-

### Choices

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

a. | 0.1,0.2,0.2 | |

b. | 0.2,0.3,0.1 | |

c. | 0.1,0.2,0.3 | |

d. | 0.2,0.1,0.2 |

## Question 92

### Question

MCQ▾Police plan to enforce speed limits during the morning rush hour on four different routes into the city. The traps on routes A, B, C, and D are operated and of the time respectively. Albert always speeds to work, and he has probability 0.2,0.1,0.5, and 0.2 of using those routes. What is the probability that he՚ll go without a ticket any one morning?

### Choices

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

a. | 0.37 | |

b. | 0.73 | |

c. | 0.25 | |

d. | 0.27 |

## Question 93

### Question

MCQ▾A bag contains 16 coins of which two are counterfeit with heads on both sides. The rest are fair coins. One is selected at random from the bag and tossed. The probability of getting a head is

### Choices

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

a. | ||

b. | ||

c. | ||

d. | None of the above |