# Probability (ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern)): Questions 171 - 175 of 205

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## Question number: 171

» Probability » Moment and Probability Generating Functions

MCQ▾

### Question

Let be independent count r. v. s. If the are identically distributed, each with Probability generating function then has Probability generating function________.

### Choices

Choice (4) Response

a.

b.

c.

d.

None of the above

## Question number: 172

» 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: 173

» Probability » Central Limit Theorems for Independent Variables

MCQ▾

### Question

A waitress earns varying tips with a mean of Rs. 10.90 with a standard deviation of Rs. 5.60. Assume on the weekend she gets 60 tips. What is the probability she earns Rs. 750 or more?

### Choices

Choice (4) Response

a.

0.258

b.

0.742

c.

0.866

d.

0.134

## Question number: 174

» Probability » Uniqueness and Continuity Theorems

MCQ▾

### Question

If and are two random variables such that . Then which of the following is correct?

### Choices

Choice (4) Response

a.

and have no relation.

b.

and have same distribution.

c.

and are both continuous distributions.

d.

All of the above

## Question number: 175

» Probability » Inversion

MCQ▾

### Question

Which of the following statement is/are correct?

### Choices

Choice (4) Response

a.

Two or more random variables cannot follow same characteristic function.

b.

The characteristic function of random variable uniquely characterizes its distribution.

c.

Question does not provide sufficient data or is vague

d.

All of the above

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