# Probability-Probability Distributions (ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern)): Questions 102 - 105 of 109

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## Question number: 102

» Probability » Probability Distributions » Gamma

MCQ▾

### Question

Three life bulbs has life lengths of and respectively in which all follows an exponential distribution with a mean of 300 hours. Suppose the life length of one bulb is independent of others. Find the probability distribution and expected value for the time until all three bulbs ceases to burn.

### Choices

Choice (4) Response

a.

1200 hours

b.

900 hours

c.

600 hours

d.

None of the above

## Question number: 103

» Probability » Probability Distributions » Joint and Marginal Distributions

MCQ▾

### Question

Continuous random variables and have a joint distribution with density function for and . Find

### Choices

Choice (4) Response

a.

b.

c.

d.

Question does not provide sufficient data or is vague

## Question number: 104

» Probability » Probability Distributions » Gamma

MCQ▾

### Question

A chi-square (with degree of freedom) probability density function satisfies which of the following property/properties?

### Choices

Choice (4) Response

a.

If then is decreasing with

b.

If , then is concave downward.

c.

If , is increasing with as .

d.

All a. , b. and c. are correct

## Question number: 105

» Probability » Probability Distributions » Beta

MCQ▾

### Question

If has the distribution with degrees of freedom in the numerator and degrees of freedom in the denominator then, will follow ________ distribution.

### Choices

Choice (4) Response

a.

b.

with degrees of freedom.

c.

d.

Question does not provide sufficient data or is vague

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