# Probability-Probability Distributions (ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern)): Questions 79 - 82 of 109

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## Question number: 79

» Probability » Probability Distributions » Conditional Distributions

MCQ▾

### Question

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 number: 80

» Probability » Probability Distributions » Beta

MCQ▾

### Question

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

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 81

» Probability » Probability Distributions » Conditional Distributions

MCQ▾

### Question

A continuous random vector have joint probability distribution function

What is the mean of conditional density of given ?

### Choices

Choice (4) Response

a.

b.

c.

x

d.

None of the above

## Question number: 82

» Probability » Probability Distributions » Gamma

MCQ▾

### Question

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.

0.8647

b.

c.

d.

None of the above

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