# Probability (ISS Statistics Paper I (New 2016 MCQ Pattern)): Questions 106 - 108 of 205

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## Question number: 106

» Probability » Probability Distributions » Geometric

### Question

Let be a discrete random variable with the geometric distribution with parameter . Then the Probability Generating Function of Geometric Distribution will be ________.

### Choices

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

a. |
| |

b. |
| |

c. |
| |

d. | None of the above |

## Question number: 107

» Probability » Probability Distributions » Exponential

### Question

Suppose that the amount of time one spends in a bank is exponentially distributed mean 10 minutes, . What is the probability that a customer will spend more than 15 minutes in the bank given that he is still in the bank after 10 minutes?

### Choices

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

a. | 0.50 | |

b. |
| |

c. | 0.314 | |

d. | None of the above |

## Question number: 108

» Probability » Modes of Convergences of Sequences of Random Variables » In Distribution

### Question

Suppose that has the discrete uniform distribution on for each and let denote the probability density function of Let have the continuous uniform distribution on the interval . Then which of the following is correct option?

### Choices

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

a. | for each but | |

b. | The distribution of converges to the distribution of as | |

c. | as for all | |

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