# Probability (ISS Statistics Paper I (New 2016 MCQ Pattern)): Questions 101 - 105 of 205

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## Question number: 101

» Probability » Probability Distributions » Cauchy

### Question

The Student distribution with one degree of freedom has PDF________.

### Choices

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

a. |
| |

b. | Standard Cauchy distribution | |

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

d. | None of the above |

## Question number: 102

» Probability » Conditional Probability

### Question

Suppose that five good bulbs and two defective ones have been mixed up. To find the defective bulbs, we test them one-by-one, at random and without replacement. What is the probability that we are lucky and find both of the defective fuses in the first two tests?

### Choices

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

a. |
| |

b. |
| |

c. |
| |

d. | None of the above |

## Question number: 103

» Probability » Probability Distributions » Hypergeometric

### Question

A box contain 2000 items of which are defective. Find the probability that 2 defectives will be obtained in a sample of size 10 without replacement.

### Choices

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

a. | 0.193 | |

b. | 0.923 | |

c. | 0.388 | |

d. | 0.347 |

## Passage

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

## Question number: 104 (1 of 2 Based on Passage) Show Passage

» Probability » Probability Distributions » Rectangular

### Question

The probability of getting a value less than 8 is________ and is________.

### Choices

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

a. | 0.50 and 0.25 | |

b. | 0.25 and 0.50 | |

c. | 0.125 and 0.25 | |

d. | All of the above |

## Question number: 105 (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 exclusive. | |

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

d. | All of the above |