ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 335 - 338 of 471

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Question number: 335

» Probability » Probability Distributions » Conditional Distributions

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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: 336

» Probability » Probability Distributions » Joint and Marginal Distributions

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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: 337

» Probability » Probability Distributions » Gamma

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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.

Question does not provide sufficient data or is vague

Question number: 338

» Probability » Probability Distributions » Joint and Marginal Distributions

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MCQ▾

Question

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

Choices

Choice (4) Response

a.

b.

c.

d.

All of the above