Probability (ISS Statistics Paper I (New 2016 MCQ Pattern)): Questions 188 - 190 of 205

Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 469 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. View Sample Explanation or View Features.

Rs. 300.00 or

Question number: 188

» Probability » Central Limit Theorems for Independent Variables

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: 189

» Probability » Tchebycheff's Inequalities

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: 190

» Probability » Mathematical Expectation and Conditional Expectation

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

f Page