ISS Statistics Paper I (New 2016 MCQ Pattern): Questions 371 - 374 of 469

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Question number: 371

» Probability » Tchebycheff's Inequalities

MCQ▾

Question

Let Equation . Using Chebyshev’s inequality, find an upper bound on Equation , where Equation . Evaluate the bound for Equation and Equation .

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

All of the above

Question number: 372

» Probability » Central Limit Theorems for Independent Variables

MCQ▾

Question

A waitress earns varying tips with a mean of Rs. 10.90 with a standard deviation of Rs. 5.60. Assume on the weekend she gets 60 tips. What is the probability she earns Rs. 750 or more?

Choices

Choice (4) Response

a.

0.258

b.

0.742

c.

0.866

d.

0.134

Question number: 373

» Probability » Uniqueness and Continuity Theorems

MCQ▾

Question

If Equation and Equation are two random variables such that Equation . Then which of the following is correct?

Choices

Choice (4) Response

a.

Equation and Equation have no relation.

b.

Equation and Equation have same distribution.

c.

Equation and Equation are both continuous distributions.

d.

All of the above

Question number: 374

» Probability » Inversion

MCQ▾

Question

Which of the following statement is/are correct?

Choices

Choice (4) Response

a.

Two or more random variables cannot follow same characteristic function.

b.

The characteristic function of random variable uniquely characterizes its distribution.

c.

Question does not provide sufficient data or is vague

d.

All of the above

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