ISS Statistics Paper I (New 2016 MCQ Pattern): Questions 322 - 326 of 404

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Question number: 322

» Probability » Probability Distributions » Random Vectors

MCQ▾

Question

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

f(x)={

Choices

Choice (4) Response
a.

F(x)={

b.

F(x)={

c.

F(x)={

d. All of the above

Question number: 323

» Probability » Probability Distributions » Beta

MCQ▾

Question

If X~Beta(α,1)andα>0, then Y=1X has ________ distribution

Choices

Choice (4) Response
a.

Uniform

b.

Normal

c.

Cauchy

d. None of the above

Question number: 324

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

MCQ▾

Question

If XnX as n with probability 1 then,

Choices

Choice (4) Response
a.

XnX as n in probability.

b.

XnX as n in r-th mean.

c.

XnX as n almost everywhere.

d. Question does not provide sufficient data or is vague

Question number: 325

» Probability » Probability Distributions » Joint and Marginal Distributions

MCQ▾

Question

The cumulative distribution function for the joint distribution of the continuous random variables X and Y is (x,y)=0.4(4x2y2+3xy3) for0x1and0y1 . What is the value of f(1,12)?

Choices

Choice (4) Response
a.

0.9

b.

3.2

c.

4.1

d. None of the above

Question number: 326

» Probability » Probability Distributions » Gamma

MCQ▾

Question

Which of the following property is/are satisfied by a standard Gamma distribution with shape parameter k(0,) ?

Choices

Choice (4) Response
a.

If 0<k<1 , f is decreasing with f(x) as x0 .

b.

If 0<k1 , f is concave upward.

c.

If 1<k2 , f is concave downward and then upward, with inflection point at 1+k1 .

d. All a. , b. and c. are correct

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