# ACET (Actuarial Common Entrance Test) Statistics: Questions 64 - 69 of 201

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## Question 64

### Question

MCQ▾A variable that can assume any value between two given points is called -

### Choices

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

a. | Discrete random variable | |

b. | Continuous random variable | |

c. | Irregular random variable | |

d. | Uncertain random variable |

## Question 65

### Question

MCQ▾If 10 % of pens manufactured by a company are defective. The probability that a box containing 12 pens contains exactly 2 defective pens is given by

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 66

### Question

MCQ▾The arithmetic means of X and Y are 20 and 120 respectively. There standard deviations are 5 and 25 respectively. The correlation coefficient between them is 0.8. Find the regression equation of Y on X.

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 67

### Question

MCQ▾Two dice are thrown and the sums of the numbers on the faces up is noted. The probability that this sum being 11 is-

### Choices

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

a. | ||

b. | ||

c. | ||

d. | All of the above |

## Question 68

### Question

MCQ▾In how many different ways can the letters of the word ‘DETAIL’ be arranged such that the vowels must occupy only the odd positions?

### Choices

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

a. | 36 | |

b. | 100 | |

c. | 64 | |

d. | 90 |

## Question 69

### Question

MCQ▾The mean of first prime numbers is

### Choices

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

a. | 5.6 | |

b. | 3 | |

c. | 3.6 | |

d. | 7 |