# Probability (ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern)): Questions 199 - 201 of 205

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## Question number: 199

» Probability » Laws of Large Numbers

MCQ▾

### Question

Let be a sequence of independent, identically distributed random variables, each having finite mean . Then for any , which of the following option is/are correct according to statement of Weak law of large number?

### Choices

Choice (4) Response

a.

b.

c.

Question does not provide sufficient data or is vague

d.

All of the above

## Question number: 200

» Probability » Kolmogorov's Inequalities

MCQ▾

### Question

For an infinite sequence, for every where be independent random variables on a common probability space with expected value and variance for . and which of the following inequality holds?

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 201

» 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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