# ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 308 - 312 of 472

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## Question 308

### Question

MCQ▾For a standard Beta distribution having pdf , with parameter , which of the following statements is/are correct?

### Choices

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

a. | If is increasing with mode at | |

b. | If is increasing with | |

c. | If is decreasing with mode at | |

d. | All a., b. and c. are correct |

## Question 309

### Question

MCQ▾Suppose that the joint density of and is

and zero otherwise. Which of the following is equal to

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 310

### Question

MCQ▾If is the mode of given , then which of the following relation is correct:

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 311

### Question

MCQ▾A continuous random vector have joint probability distribution function

What is the mean of conditional density of given ?

### Choices

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

a. | x | |

b. | ||

c. | ||

d. | None of the above |

## Question 312

### Question

MCQ▾Suppose that a bullet is fired at a target at the origin of a plane coordinate system, with units in meters. The bullet lands at where and are independent and each has the normal distribution with mean 0 and variance 100. The bullet will destroy the target if it lands within 20 meters of the target. Find the probability of this event.

### Choices

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

a. | ||

b. | 0.8647 | |

c. | ||

d. | None of the above |