ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 314 - 315 of 469

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Question number: 314

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

MCQ▾

Question

Consider a random permutation Equation of the elements in the set Equation . We say that s match occurs at position Equation . If Equation denotes the number of matches, then the distribution of Equation converges to ________ as Equation .

Choices

Choice (4) Response

a.

Exponential distribution with parameter 1

b.

Poisson distribution with parameter 1

c.

Laplace distribution with location parameter 0 and scale parameter 1

d.

None of the above

Question number: 315

» Probability » Probability Distributions » Gamma

MCQ▾

Question

Which of the following statements is/are correct regarding Gamma distribution with Equation parameters?

Choices

Choice (4) Response

a.

If Equation represents identically distributed, independent gamma random variables with parameters Equation and Equation , then if Equation , Equation

b.

If Equation represents identically distributed, independent gamma random variables with parameters Equation and Equation , then Equation also have a gamma distribution with parameters Equation and Equation .

c.

If Equation the gamma density function is reduced to the exponential density function.

d.

All a. , b. and c. are correct

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