# Probability (ISS Statistics Paper I (New 2016 MCQ Pattern)): Questions 163 - 167 of 205

Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 469 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. View Sample Explanation or View Features.

Rs. 300.00 or

## Question number: 163

» Probability » Mathematical Expectation and Conditional Expectation

MCQ▾

### Question

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

### Choices

Choice (4) Response

a.

b.

c.

d.

All of the above

## Question number: 164

» 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: 165

» Probability » Borel 0-1 Law

MCQ▾

### Question

For each independent sequence of events , we have________

### Choices

Choice (4) Response

a.

b.

c.

Both a. and b. are correct

d.

None of the above

## 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

f Page