ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 332 - 334 of 471

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Question number: 332

» Probability » Modes of Convergences of Sequences of Random Variables » In Distribution

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MCQ▾

Question

Let for and let Let and be the corresponding probability density functions and let and be the corresponding distribution functions. Then which of the following option is/are correct?

Choices

Choice (4) Response

a.

as

b.

as for all

c.

as for all

d.

Question does not provide sufficient data or is vague

Question number: 333

» Probability » Probability Distributions » Joint and Marginal Distributions

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is a continuous random variable with density function for is also jointly distributed with the continuous random variable , and the conditional density of given is . Find for

Choices

Choice (4) Response

a.

b.

c.

d.

Question does not provide sufficient data or is vague

Question number: 334

» Probability » Probability Distributions » Gamma

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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.

Gamma,

c.

Normal,

d.

None of the above