# Probability (ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern)): Questions 166 - 170 of 205

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## Question number: 166

» Probability » Kolmogorov's Inequalities

MCQ▾

### Question

Which of the following statement is correct?

### Choices

Choice (4) Response

a.

Chebyshev’s Inequality is an special case of Kroneckers lemma.

b.

Chebyshev’s Inequality is an special case of Kolmogorov’s Inequality.

c.

Question does not provide sufficient data or is vague

d.

None of the above

## Question number: 167

» Probability » Laws of Large Numbers

MCQ▾

### Question

Suppose someone wants to estimate Prime minister’s approval rating by asking persons drawn at random from the voter population. Let

Now if he/she want to be confident that he/she is within of the actual approval rating then from how many (minimum number of) people he should ask?

### Choices

Choice (4) Response

a.

1000

b.

10,000

c.

25,000

d.

50,000

## Question number: 168

» Probability » Characteristic Function

MCQ▾

### Question

Let random variables, be independent Poisson random variables. So if then, which of the following is the characteristic function of if ?

### Choices

Choice (4) Response

a.

b.

c.

d.

All of the above

## Question number: 169

» Probability » Mathematical Expectation and Conditional Expectation

MCQ▾

### Question

Let and be independent; each is uniformly distributed on Let , then ________.

### Choices

Choice (4) Response

a.

b.

c.

1

d.

## Question number: 170

» Probability » Moment and Probability Generating Functions

MCQ▾

### Question

If and are independent discrete random variables with the non-negative integers as range, and with distribution function then, what is the distribution of ?

### Choices

Choice (4) Response

a.

Poission distribution

b.

Geometric distribution

c.

Negative binomial distribution

d.

None of the above

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