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

b.

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

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 be the sum of the numbers that appear over the 100 rolls. Find the bound using Chebyshev’s inequality for .

### Choices

Choice (4) Response

a.

b.

c.

d.

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