# ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 376 - 379 of 472

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## Question number: 376

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MCQ▾

### Question

Let be an exponential random variable with parameter . It’s characteristic function is________.

### Choices

Choice (4)Response

a.

b.

c.

d.

Question does not provide sufficient data or is vague

## Question number: 377

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MCQ▾

### Question

Suppose that you have a sample of values from a population with mean and standard deviation . What is the probability that the sample mean will be in the interval ?

### Choices

Choice (4)Response

a.

0.1056

b.

0.8944

c.

0.7888

d.

0.2112

## Question number: 378

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MCQ▾

### Question

Which of the following are correct examples of applications of Chebyshev’s inequality?

### Choices

Choice (4)Response

a.

If be a Poisson r. v. with parameter . The probability that deviates from by more than is atmost .

b.

If be the number of Heads in tosses of fair coin then the probability that deviates from by more than is at most and the probability that it deviates by more than 5 is atmost .

c.

Both a. and b. are correct

d.

Question does not provide sufficient data or is vague

## Question number: 379

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MCQ▾

### Question

Let be random variables, and . Assuming that expectations exist, we have = ________

### Choices

Choice (4)Response

a.

b.

if and are independent.

c.

d.

All a. , b. and c. are correct

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