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

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Question number: 387

» Probability » Central Limit Theorems for Independent Variables

MCQ▾

Question

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

Choices

Choice (4) Response

a.

0.1056

b.

0.8944

c.

0.7888

d.

0.2112

Question number: 388

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

b.

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

c.

Both a. and b. are correct

d.

None of the above

Question number: 389

» Probability » Mathematical Expectation and Conditional Expectation

MCQ▾

Question

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

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation if Equation and Equation are independent.

d.

All a. , b. and c. are correct

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