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

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Question 376

Question

MCQ▾

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 377

Question

MCQ▾

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 378

Question

MCQ▾

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 379

Question

MCQ▾

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