# ACET (Actuarial Common Entrance Test) Statistics: Questions 70 - 75 of 201

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## Question 70

### Question

MCQ▾For a group of 8 students, the sum of squares of differences in ranks for mathematics and statistics marks was found to be 50. What is the value of rank correlation coefficient?

### Choices

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

a. | 0.23 | |

b. | 0.92 | |

c. | 0.40 | |

d. | 0.78 |

## Question 71

### Question

MCQ▾In a railway yard, goods train arrive at a rate of 30 trains per day. Assume that the inter-arrival time follows an exponential distribution and the service distribution is also an exponential with an average of 36 minutes. The probability that the size of the queue exceeds 10 is

### Choices

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

a. | 0.06 | |

b. | 0.750 | |

c. | 0.250 | |

d. | 0.944 |

## Question 72

### Question

MCQ▾A and B are two events such that . Find

### Choices

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

a. | 0.65 | |

b. | 0.305 | |

c. | 0.12 | |

d. | 0.695 |

## Question 73

### Question

MCQ▾If X in a discrete random variate having the following probability distribution:

X | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 |

0 | K | 2K | 2K | 3K |

Then the value of K is

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 74

### Question

MCQ▾What is the probability that a value chosen from a population be less than its median?

### Choices

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

a. | 0.50 | |

b. | 0.75 | |

c. | 0.25 | |

d. | 1.0 |

## Question 75

### Question

MCQ▾From the data set calculate median value.

### Choices

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

a. | 3 | |

b. | 1 | |

c. | 2 | |

d. | 4 |