ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 370 - 373 of 472

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Question number: 370

» Probability » Tchebycheff's Inequalities

MCQ▾

Question

For a random variable with expectation , and standard deviation , which of the following inequality is correct?

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 371

» Probability » Laws of Large Numbers

MCQ▾

Question

Consider rolls of a die. Let be the outcome of the th roll. Then, if is the sum of first n rolls, which of the following is correct?

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 372

» Probability » Borel 0-1 Law

MCQ▾

Question

Suppose are independent events with where . If then, which of the following is correct?

Choices

Choice (4) Response

a.

a. s

b.

a. s

c.

does not converge.

d.

in probability.

Question number: 373

» Probability » Borel 0-1 Law

MCQ▾

Question

Let be independent and equidistributed. Then which of the following is correct regarding ?

Choices

Choice (4) Response

a.

If are infinite then will be larger than infinitely many times with probability 0.

b.

If are finite then will be larger than infinitely many times with probability 1.

c.

None of the above

d.

Question does not provide sufficient data or is vague

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