# ISS Statistics Paper I (New 2016 MCQ Pattern): Questions 387 - 389 of 469

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## Question number: 387

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: 388

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.

None of the above

## Question number: 389

MCQ▾

### Question

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

### Choices

Choice (4) Response

a.

b.

c.

if and are independent.

d.

All a. , b. and c. are correct

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