Probability-Borel 0-1 Law (ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern)): Questions 1 - 3 of 3

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Question number: 1

» Probability » Borel 0-1 Law

MCQ▾

Question

For each independent sequence of events , we have________

Choices

Choice (4) Response

a.

b.

c.

Both a. and b. are correct

d.

None of the above

Question number: 2

» 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: 3

» 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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