ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 339 - 341 of 471

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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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MCQ▾

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