# ACET (Actuarial Common Entrance Test) Statistics: Questions 25 - 32 of 81

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## Question number: 25

### Question

Weakly pocket money of 6 students are noted as:

₹80, ₹70, ₹90, ₹100, ₹500, ₹50. Find out range.

### Choices

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

a. | ₹ 30 | |

b. | ₹ 450 | |

c. | ₹ 100 | |

d. | ₹ 400 |

## Question number: 26

» Probabilities » Conditional Probabilities

### Question

Given , . Find

### Choices

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

a. | 0.74 | |

b. | 0.90 | |

c. | 0.90 | |

d. | 0.16 |

## Question number: 27

### Question

If , find .

### Choices

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

a. | 17 | |

b. | 8 | |

c. | 9 | |

d. | 1 |

## Question number: 28

» Probabilities » Bayes Theorem

### Question

Given, = 0.67, Find

### Choices

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

a. | 0.60 | |

b. | 0.24 | |

c. | 0.25 | |

d. | 0.67 |

## Question number: 29

### Question

The arithmetic mean of is 6. The value of X is

### Choices

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

a. | 10 | |

b. | 11 | |

c. | 12 | |

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

## Question number: 30

» Correlation and Regression » Correlation Coefficient

### Question

The standard deviation of X and Y are 4 and 5 respectively. The correlation coefficient between them is 0.8. Find the regression coefficient of Y on X.

### Choices

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

a. |
| |

b. |
| |

c. |
| |

d. | 1 |

## Question number: 31

» Continuous Random Variables » Standard Deviation

### Question

Which of the following methods uses covariance in calculating correlation coefficient?

### Choices

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

a. | Spearman’s Rank Correlation | |

b. | Concurrent Deviation | |

c. | Karl Pearson’s Coefficient of Correlation | |

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

## Question number: 32

» Probabilities » Conditional Probabilities

### Question

The probability that a student will pass the first examination is 0.8 and the probability of passing the second examination is 0.7. The probability of passing at least one of them is 0.95. What is the probability of his passing both the examinations?

### Choices

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

a. | 0.55 | |

b. | 0.42 | |

c. | 1 | |

d. | 0.63 |