# Probability-Tchebycheff's Inequalities (ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern)): Questions 1 - 5 of 6

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## Question number: 1

» Probability » Tchebycheff's Inequalities

MCQ▾

### Question

While tossing 100 coin let count the number of heads. Then what is the bound probability of using Tchebycheff’s Inequality?

### Choices

Choice (4) Response

a.

0.33

b.

0.50

c.

0.67

d.

0.25

## Question number: 2

» Probability » Tchebycheff's Inequalities

MCQ▾

### Question

Let . Using Chebyshev’s inequality, find an upper bound on , where . Evaluate the bound for and .

### Choices

Choice (4) Response

a.

b.

c.

d.

All of the above

## Question number: 3

» Probability » Tchebycheff's Inequalities

MCQ▾

### Question

If follows an exponential distribution with , then what is the bound of using Tchebycheff’s Inequality?

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 4

» Probability » Tchebycheff's Inequalities

MCQ▾

### Question

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

### Choices

Choice (4) Response

a.

b.

c.

d.

## 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

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