ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 362 - 366 of 472

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Question number: 362

» Probability » Central Limit Theorems for Independent Variables

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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.

0.134

b.

0.866

c.

0.742

d.

0.258

Question number: 363

» Probability » Uniqueness and Continuity Theorems

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MCQ▾

Question

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

Choices

Choice (4)Response

a.

and are both continuous distributions.

b.

and have no relation.

c.

and have same distribution.

d.

Question does not provide sufficient data or is vague

Question number: 364

» Probability » Inversion

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MCQ▾

Question

Which of the following statement is/are correct?

Choices

Choice (4)Response

a.

The characteristic function of random variable uniquely characterizes its distribution.

b.

Two or more random variables cannot follow same characteristic function.

c.

All of the above

d.

None of the above

Question number: 365

» Probability » Tchebycheff's Inequalities

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MCQ▾

Question

If follows an exponential distribution with , then what is the bound of using Tchebycheff’s Inequality?

Choices

Choice (4)Response

a.

b.

c.

d.

Question number: 366

» Probability » Characteristic Function

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MCQ▾

Question

For any random variable , its characteristic function is uniformly continuous on and satisfies following properties________ always.

Choices

Choice (4)Response

a.

, where for a complex number, denote the conjugate.

b.

c.

d.

All of the above

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