ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 388 - 390 of 471

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Question number: 388

» Probability » Laws of Large Numbers

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Question

Let be a sequence of independent, identically distributed random variables, each having finite mean . Then for any , which of the following option is/are correct according to statement of Weak law of large number?

Choices

Choice (4) Response

a.

b.

c.

All of the above

d.

Question does not provide sufficient data or is vague

Question number: 389

» Probability » Kolmogorov's Inequalities

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For an infinite sequence , for every where be independent random variables on a common probability space with expected value and variance for . and which of the following inequality holds?

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 390

» Probability » Moment and Probability Generating Functions

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If and are independent, then what is the distribution of ?

Choices

Choice (4) Response

a.

b.

c.

d.

None of the above