# ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 388 - 391 of 472

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## Question 388

### Question

MCQ▾Let be a sequence of independent, identically distributed random variables, each having finite mean . Then for any , which of the following option is/are correct according to statement of Weak law of large number?

### Choices

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

a. | ||

b. | ||

c. | All of the above | |

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

## Question 389

### Question

MCQ▾For an infinite sequence , for every where be independent random variables on a common probability space with expected value and variance for . and which of the following inequality holds?

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 390

### Question

MCQ▾If and are independent, then what is the distribution of ?

### Choices

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

a. | ||

b. | ||

c. | ||

d. | None of the above |

## Question 391

### Question

MCQ▾A miner is trapped in a mine containing 3 doors. The first door leads to a tunnel that will take him safety after 3 hours of travel, the second door leads to a tunnel that will return him to the mine after 5 hours of travel. The third door leads to a tunnel that will return him to the mine after 7 hours of travel. If we assume that the miner is at all times equally likely to choose any one of the doors, find the expected time for him to get to safety.

### Choices

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

a. | 3 | |

b. | 5 | |

c. | 15 | |

d. | All of the above |