Probability-Tchebycheff's Inequalities (ISS Statistics Paper I (New 2016 MCQ Pattern)): Questions 5 - 6 of 6

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Question number: 5

» Probability » Tchebycheff's Inequalities

MCQ▾

Question

Which of the following are correct examples of applications of Chebyshev’s inequality?

Choices

Choice (4) Response

a.

If Equation be a Poisson r. v. with parameter Equation . The probability that Equation deviates from Equation by more than Equation is atmost Equation .

b.

If Equation be the number of Heads in Equation tosses of fair coin then the probability that Equation deviates from Equation by more than Equation is at most Equation and the probability that it deviates by more than 5 Equation is atmost Equation .

c.

Both a. and b. are correct

d.

None of the above

Question number: 6

» Probability » Tchebycheff's Inequalities

MCQ▾

Question

Suppose that we roll a standard fair die 100 times. Let Equation be the sum of the numbers that appear over the 100 rolls. Find the bound using Chebyshev’s inequality for Equation .

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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