ISS Statistics Paper I (New 2016 MCQ Pattern): Questions 379 - 382 of 469

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Question number: 379

» Probability » Tchebycheff's Inequalities

MCQ▾

Question

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

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 380

» Probability » Laws of Large Numbers

MCQ▾

Question

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

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 381

» 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: 382

» 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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