# Probability (ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern)): Questions 162 - 165 of 205

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## Question number: 162

» Probability » Central Limit Theorems for Independent Variables

MCQ▾

### Question

A large freight elevator can transport a maximum of pounds. Suppose a load of cargo containing boxes must be transported via the elevator. Experience has shown that the weight of boxes of this type of cargo follows a distribution with mean pounds and standard deviation pounds. Based on this information, what is the probability that all boxes can be safely loaded onto the freight elevator and transported?

### Choices

Choice (4) Response

a.

b.

c.

d.

0.9348

## 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

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