# ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 378 - 381 of 471

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## 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

## Question number: 380

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MCQ▾

### Question

A hen lays eggs, where . Each egg hatches with probability , independently of the other eggs. Find the probability distribution of number of chicks,

### Choices

Choice (4) Response

a.

b.

c.

d.

Question does not provide sufficient data or is vague

## Question number: 381

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MCQ▾

### Question

Let be a ramdom variable and . A sample of size is taken from this population. What is the probability that the sum of these observations is less than ?

### Choices

Choice (4) Response

a.

b.

0.0062

c.

d.