ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 388 - 391 of 472

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Question number: 388

» Probability » Laws of Large Numbers

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MCQ▾

Question

Let be a sequence of independent, identically distributed random variables, each having finite mean . Then for any , which of the following option is/are correct according to statement of Weak law of large number?

Choices

Choice (4)Response

a.

b.

c.

All of the above

d.

Question does not provide sufficient data or is vague

Question number: 389

» Probability » Kolmogorov's Inequalities

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Question

For an infinite sequence , for every where be independent random variables on a common probability space with expected value and variance for . and which of the following inequality holds?

Choices

Choice (4)Response

a.

b.

c.

d.

Question number: 390

» Probability » Moment and Probability Generating Functions

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Question

If and are independent, then what is the distribution of ?

Choices

Choice (4)Response

a.

b.

c.

d.

None of the above

Question number: 391

» Probability » Mathematical Expectation and Conditional Expectation

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MCQ▾

Question

A miner is trapped in a mine containing 3 doors. The first door leads to a tunnel that will take him safety after 3 hours of travel, the second door leads to a tunnel that will return him to the mine after 5 hours of travel. The third door leads to a tunnel that will return him to the mine after 7 hours of travel. If we assume that the miner is at all times equally likely to choose any one of the doors, find the expected time for him to get to safety.

Choices

Choice (4)Response

a.

3

b.

5

c.

15

d.

All of the above

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