Probability (ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern)): Questions 202 - 205 of 205
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Question number: 202
» Probability » Moment and Probability Generating Functions
Question
If and are independent, then what is the distribution of ?
Choices
| Choice (4) | Response | |
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| a. |
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| b. |
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| c. |
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| d. | None of the above |
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Question number: 203
» Probability » Mathematical Expectation and Conditional Expectation
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 |
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| b. | 5 |
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| c. | 15 |
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| d. | Question does not provide sufficient data or is vague |
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Question number: 204
» Probability » Kolmogorov's 0-1 Law
Question
Which of the following is correct regarding Kolmogorov’s zero-one law?
Choices
| Choice (4) | Response | |
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| a. | It is even valid for sequence of dependent random variables. |
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| b. | A tail -algebra contains only events of probability 0 or 1. |
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| c. | Question does not provide sufficient data or is vague |
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| d. | All of the above |
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Question number: 205
» Probability » Mathematical Expectation and Conditional Expectation
Question
If has the probability density
find the expected value of
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | 3 |
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| b. | 4 |
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| c. | 2 |
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| d. | All of the above |
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