# ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 296 - 299 of 472

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## Passage

The random number generator in Excel is set to produce numbers at random from 4 to 20 using a rectangular distribution.

## Question number: 296 (2 of 2 Based on Passage) Show Passage

» Probability » Probability Distributions » Rectangular

### Question

Define event A to be a number is less than 8 and define event B to be a number is in the interval . Then, which of the following relation is correct among A and B?

### Choices

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

a. | A and B are independent. | |

b. | A and B are mutually exhaustive. | |

c. | A and B are mutually exclusive. | |

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

## Question number: 297

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

## Question number: 298

» 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. |
| |

b. | 0.314 | |

c. | 0.50 | |

d. | None of the above |

## Question number: 299

» 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. | as for all | |

b. | for each but | |

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

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