# ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 287 - 290 of 472

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## Question number: 287

» Probability » Probability Distributions » Negative Binomial

### Question

A standard, fair die is thrown until 5 sixes occur. Let denote the number of throws. Then variance of is ________.

### Choices

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

a. | 250 | |

b. | 900 | |

c. | 150 | |

d. | All of the above |

## Question number: 288

» Probability » Probability Distributions » Hypergeometric

### Question

Which of the following statement is correct regarding Hyper geometric distribution?

### Choices

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

a. | Each individual of a population can be characterized as a success (S) or failure (F). | |

b. | The population or set to be sampled consists of infinite number of elements. | |

c. | Hypergeometric random variable has larger variance than binomial random variable. | |

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

## Question number: 289

» Probability » Conditional Probability

### Question

Consider the college applicant who has determined that he has 0.80 probability of acceptance and that only 60 % of the accepted students will receive dormitory housing. Of the accepted students who receive dormitory housing, 80 % will have at least one roommate. What is the probability of being accepted and receiving dormitory housing and having no roommates?

### Choices

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

a. | 0.085 | |

b. | 0.096 | |

c. | 0.074 | |

d. | 0.088 |

## Question number: 290

» Probability » Probability Distributions » Hypergeometric

### Question

An urn contain 20 balls out of which 8 are black and 12 are white. 5 balls are selected without replacement, then what is the probability that exactly 2 balls are white balls?

### Choices

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

a. | 0.238 | |

b. | 0.636 | |

c. | 0.827 | |

d. | 0.542 |