Probability (ISS Statistics Paper I (New 2016 MCQ Pattern)): Questions 172 - 176 of 205

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Question number: 172

» Probability » Tchebycheff's Inequalities

MCQ▾

Question

Let X~Binomial(n,p) . Using Chebyshev’s inequality, find an upper bound on P(Xnα) , where p<α<1 . Evaluate the bound for p=12 and =34 .

Choices

Choice (4) Response
a.

1n

b.

2n2

c.

4n

d. All of the above

Question number: 173

» 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: 174

» Probability » Uniqueness and Continuity Theorems

MCQ▾

Question

If X1 and X2 are two random variables such that X1X2 . Then which of the following is correct?

Choices

Choice (4) Response
a.

X1 and X2 have no relation.

b.

X1 and X2 have same distribution.

c.

X1 and X2 are both continuous distributions.

d. All of the above

Question number: 175

» 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

Question number: 176

» Probability » Tchebycheff's Inequalities

MCQ▾

Question

If X follows an exponential distribution with λ=1 , then what is the bound of P(X3) using Tchebycheff’s Inequality?

Choices

Choice (4) Response
a.

16

b.

14

c.

15

d.

12

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