# ACET (Actuarial Common Entrance Test) Statistics: Questions 44 - 49 of 201

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## Question 44

### Question

MCQ▾When regression line passes through the origin then,

### Choices

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

a. | Intercept is zero | |

b. | Regression coefficient is zero | |

c. | Correlation is zero | |

d. | Association is zero |

## Question 45

### Question

MCQ▾How many 5 digit numbers can be formed using the digits 0,3, 5,7 & 9 which are divisible by 10 and no digits is repeated?

### Choices

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

a. | 100 | |

b. | 120 | |

c. | 24 | |

d. | 6 |

## Question 46

### Question

MCQ▾The arrival rate of customers at a service window of cinema hall follows a probability distribution with a mean rate of 45 per hour. If the service rate of the clerk follows Poisson distribution, with a mean of 60 per hours, what is the probability of having no customer in the system?

### Choices

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

a. | 0.75 | |

b. | 0.60 | |

c. | 0.25 | |

d. | 0.45 |

## Question 47

### Question

MCQ▾A machine on an average produces 5 % defective items. What are the mean and variance in a set of 32 items?

### Choices

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

a. | 4,16 | |

b. | 16,8 | |

c. | 16,4 | |

d. | None of the above |

## Question 48

### Question

MCQ▾The probability of raining on Sunday is 0.07. If today is Sunday, what is the probability that it rains today?

### Choices

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

a. | 0.07 | |

b. | 1/7 | |

c. | 1 | |

d. | 0.49 |