# ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 237 - 240 of 472

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## Question number: 237

» Probability » Probability Distributions » Cauchy

### Question

If has the standard Cauchy distribution, then will follow________.

### Choices

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

a. | A Student | |

b. | A Laplace distribution. | |

c. | A Chi-square distribution. | |

d. | None of the above |

## Question number: 238

» Probability » Probability Distributions » Poisson

### Question

Which of the following statement is/are false regarding following curve?

### Choices

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

a. | D have smallest value of | |

b. | A have smallest value of | |

c. | All can follow Poisson distribution. | |

d. | None of the above |

## Question number: 239

» Probability » Probability Distributions » Normal

### Question

A manufacturer does not know the mean and SD of the diameter of a ball bearing he is producing. However, a machine rejects all bearings larger than 2.5 cm and those under 2 cm in diameter. Out of 5000 ball bearings 9 % are rejected as too small and 6.5 % as too big. What is the mean and standard deviation of the ball bearings produced?

### Choices

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

a. |
| |

b. |
| |

c. |
| |

d. | All of the above |

## Question number: 240

» Probability » Probability Distributions » Rectangular

### Question

An n-dimensional rectangular box with sides is to be constructed. The volume is . The edge-length of an n-cube with the same volume as the random box is . Let be i. i. d. uniform random variables over the interval Which of the following statements is/are correct regarding this?

Statements:

1) Expected edge length captures the idea of the volume of the box.

2) Expected edge length does not captures the idea of the volume of the box.

3)

### Choices

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

a. | 1 and 3 | |

b. | 3 | |

c. | 2 and 3 | |

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