Probability-Borel 0-1 Law (ISS 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 Equation of events Equation , we have________

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Both a. and b. are correct

d.

None of the above

Question number: 2

» Probability » Borel 0-1 Law

MCQ▾

Question

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

Choices

Choice (4) Response

a.

Equation a. s

b.

Equation a. s

c.

Equation does not converge.

d.

Equation in probability.

Question number: 3

» Probability » Borel 0-1 Law

MCQ▾

Question

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

Choices

Choice (4) Response

a.

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

b.

If Equation are finite then Equation will be larger than Equation 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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