ISS Statistics Paper I (New 2016 MCQ Pattern): Questions 346 - 348 of 469

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Question number: 346

» 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: 347

» Probability » Probability Distributions » Gamma

MCQ▾

Question

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

Choices

Choice (4) Response

a.

If Equation then Equation is decreasing with Equation

b.

If Equation , then Equation is concave downward.

c.

If Equation , Equation is increasing with Equation as Equation .

d.

All a. , b. and c. are correct

Question number: 348

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

MCQ▾

Question

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

Choices

Choice (4) Response

a.

Equation almost everywhere

b.

Equation as Equation

c.

Equation in probability

d.

Question does not provide sufficient data or is vague

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