Probability (ISS Statistics Paper I (New 2016 MCQ Pattern)): Questions 123 - 127 of 205

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Question number: 123

» Probability » Probability Distributions » Random Vectors

MCQ▾

Question

What is the distribution function of a random variable which have following density function?

Equation

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

All of the above

Question number: 124

» Probability » Probability Distributions » Beta

MCQ▾

Question

If Equation then Equation has ________ distribution

Choices

Choice (4) Response

a.

Uniform

b.

Normal

c.

Cauchy

d.

None of the above

Question number: 125

» Probability » Modes of Convergences of Sequences of Random Variables » With Probability One

MCQ▾

Question

If Equation as Equation with probability 1 then,

Choices

Choice (4) Response

a.

Equation as Equation in probability.

b.

Equation as Equation in r-th mean.

c.

Equation as Equation almost everywhere.

d.

Question does not provide sufficient data or is vague

Question number: 126

» Probability » Probability Distributions » Joint and Marginal Distributions

MCQ▾

Question

The cumulative distribution function for the joint distribution of the continuous random variables Equation and Equation is Equation Equation . What is the value of Equation

Choices

Choice (4) Response

a.

0.9

b.

3.2

c.

4.1

d.

None of the above

Question number: 127

» Probability » Probability Distributions » Gamma

MCQ▾

Question

Which of the following property is/are satisfied by a standard Gamma distribution with shape parameter Equation ?

Choices

Choice (4) Response

a.

If Equation , Equation is decreasing with Equation as Equation .

b.

If Equation , Equation is concave upward.

c.

If Equation , Equation is concave downward and then upward, with inflection point at Equation .

d.

All a. , b. and c. are correct

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