# Probability-Laws of Large Numbers (ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern)): Questions 1 - 4 of 5

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## Question number: 1

» 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: 2

» Probability » Laws of Large Numbers

MCQ▾

### Question

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

### Choices

Choice (4) Response

a.

b.

c.

None of the above

d.

All of the above

## Question number: 3

» Probability » Laws of Large Numbers

MCQ▾

### Question

Consider rolls of a die. Let be the outcome of the th roll. Then, if is the sum of first n rolls, which of the following is correct?

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 4

» Probability » Laws of Large Numbers

MCQ▾

### Question

Suppose we choose at random numbers from the interval with uniform distribution. If describes the th choice and , then which of the following is correct?

### Choices

Choice (4) Response

a.

b.

c.

d.

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