# ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 376 - 379 of 472

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## Question 376

### Question

MCQ▾Let be an exponential random variable with parameter . It՚s characteristic function is________.

### Choices

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

a. | ||

b. | ||

c. | ||

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

## Question 377

### Question

MCQ▾Suppose that you have a sample of values from a population with mean and standard deviation . What is the probability that the sample mean will be in the interval ?

### Choices

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

a. | 0.1056 | |

b. | 0.8944 | |

c. | 0.7888 | |

d. | 0.2112 |

## Question 378

### Question

MCQ▾Which of the following are correct examples of applications of Chebyshev՚s inequality?

### Choices

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

a. | If be a Poisson r. v. with parameter . The probability that deviates from by more than is atmost . | |

b. | If be the number of Heads in tosses of fair coin then the probability that deviates from by more than is at most and the probability that it deviates by more than 5 is atmost . | |

c. | Both a. and b. are correct | |

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

## Question 379

### Question

MCQ▾Let be random variables, and . Assuming that expectations exist, we have = ________

### Choices

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

a. | ||

b. | if and are independent. | |

c. | ||

d. | All a., b. and c. are correct |