# ISS Statistics Paper I (New 2016 MCQ Pattern): Questions 342 - 345 of 469

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## Question number: 342

MCQ▾

### Question

Suppose that and are independent random variables, and that has the gamma distribution with shape parameter and scale parameter for . Then has the ________distribution with shape parameter________and scale parameter________.

### Choices

Choice (4) Response

a.

Gamma,

b.

Normal,

c.

Gamma,

d.

None of the above

## Question number: 343

» Probability » Probability Distributions » Conditional Distributions

MCQ▾

### Question

Suppose that the joint density of and is

Find the conditional density of given .

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 344

» 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: 345

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

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