# ISS Statistics Paper I (New 2016 MCQ Pattern): Questions 327 - 329 of 404

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## Question number: 327

» Probability » Probability Distributions » Beta

### Question

A company produces bulbs that have a probability of being defective. The manufacturer does not know , but from past experience he expects this probability to be equal to . Furthermore, he quantifies his uncertainty about by attaching a standard deviation of to his estimate. After consulting with an expert in statistics, the manufacturer decides to use a Beta distribution to model her uncertainty about . What values of parameter will he use for making his assumptions true?

### Choices

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

a. |
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b. | α=2.59, β = 49.21 | |

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

## Question number: 328

» Probability » Modes of Convergences of Sequences of Random Variables » In Mean Square

### Question

If in mean, then ________.

### Choices

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

a. | almost everywhere | |

b. | in distribution. | |

c. | in probability. | |

d. | Both b. and c. are correct |

## Question number: 329

» Probability » Probability Distributions » Beta

### Question

Suppose Suppose is a random variable such that the conditional distribution of given is negative binomial with stopping parameter and success parameter . Then conditional distribution given follows ________.

### Choices

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

a. |
| |

b. |
| |

c. |
| |

d. | None of the above |