ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 338 - 342 of 472

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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

Question number: 339

» Probability » Probability Distributions » Gamma

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MCQ▾

Question

A chi-square (with degree of freedom) probability density function satisfies which of the following property/properties?

Choices

Choice (4)Response

a.

If then is decreasing with

b.

If , then is concave downward.

c.

If , is increasing with as .

d.

All a. , b. and c. are correct

Question number: 340

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

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Question

Suppose that is a sequence of independent random variables with , ; , then the following option is correct?

Choices

Choice (4)Response

a.

in probability

b.

almost everywhere

c.

as

d.

Question does not provide sufficient data or is vague

Question number: 341

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

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Question

Consider the following statements and then choose the option in which the given statements are equivalent.

I)

II)

III) for every

IV) for every

V) for every

Choices

Choice (4)Response

a.

II and IV

b.

I, III, V

c.

I, V

d.

None of the above

Question number: 342

» Probability » Probability Distributions » Beta

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If has the distribution with degrees of freedom in the numerator and degrees of freedom in the denominator then, will follow ________ distribution.

Choices

Choice (4)Response

a.

b.

with degrees of freedom.

c.

d.

All of the above

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