ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 320 - 324 of 471

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Question number: 320

» Probability » Modes of Convergences of Sequences of Random Variables » In Mean Square

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MCQ▾

Question

If in mean, then ________.

Choices

Choice (4) Response

a.

in probability.

b.

almost everywhere

c.

in distribution.

d.

Both a. and c. are correct

Question number: 321

» Probability » Probability Distributions » Beta

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Suppose Suppose is a random variable such that the conditional distribution of given is negative binomial with stopping parameter and success parameter . Then conditional distribution given follows ________.

Choices

Choice (4) Response

a.

b.

c.

d.

None of the above

Question number: 322

» Probability » Probability Distributions » Conditional Distributions

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Suppose the continuous random variables X and Y have the following joint probability density function: for and . What is the conditional density of given ?

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 323

» Probability » Probability Distributions » Gamma

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Question

If has the gamma distribution with shape parameter then it’s moment generating function is ________ .

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 324

» Probability » Probability Distributions » Joint and Marginal Distributions

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Continuous random variables and have a joint distribution with density function

in the region bounded by Find the density function for the marginal distribution of for

Choices

Choice (4) Response

a.

b.

c.

d.