# ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 319 - 322 of 472

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## Question 319

### Question

MCQ▾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. | ||

b. | ||

c. | α = 2.59, β = 49.21 | |

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

## Question 320

### Question

MCQ▾If in mean, then ________.

### Choices

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

a. | in probability. | |

b. | almost everywhere | |

c. | in distribution. | |

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

## Question 321

### Question

MCQ▾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 |

## Question 322

### Question

MCQ▾Suppose the continuous random variables *X* and *Y* have the following joint probability density function: for and . What is the conditional density of given ?

### Choices

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

a. | ||

b. | ||

c. | ||

d. |