Probability-Probability Distributions (ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern)): Questions 100 - 103 of 109

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Question number: 100

» Probability » Probability Distributions » Conditional Distributions

MCQ▾

Question

Suppose that the joint density of Equation and Equation is

Equation

Find the conditional density ofEquation given Equation .

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 101

» Probability » Probability Distributions » Joint and Marginal Distributions

MCQ▾

Question

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

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Question does not provide sufficient data or is vague

Question number: 102

» Probability » Probability Distributions » Gamma

MCQ▾

Question

Three life bulbs has life lengths of Equation and Equation 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 Equation and Equation have a joint distribution with density function Equation for Equation and Equation . Find Equation

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Question does not provide sufficient data or is vague

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