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

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## Question number: 376

» Probability » Mathematical Expectation and Conditional Expectation

### Question

Let be an exponential random variable with parameter . It’s characteristic function is________.

### Choices

Choice (4) | Response | |
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a. |
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b. |
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c. |
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d. | Question does not provide sufficient data or is vague |

## Question number: 377

» Probability » Central Limit Theorems for Independent Variables

### Question

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 number: 378

» Probability » Tchebycheff's Inequalities

### Question

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 number: 379

» Probability » Mathematical Expectation and Conditional Expectation

### Question

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

### Choices

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

a. |
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b. | if and are independent. | |

c. |
| |

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