Probability (ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern)): Questions 188 - 190 of 205
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Question number: 188
» Probability » Central Limit Theorems for Independent Variables
Question
Suppose that you have a sample of values from a population with mean and standard deviation. What is the probability that the sample mean will be in the interval ?
Choices
| Choice (4) | Response | |
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| a. | 0.1056 |
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| b. | 0.8944 |
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| c. | 0.7888 |
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| d. | 0.2112 |
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Question number: 189
» Probability » Tchebycheff's Inequalities
Question
Which of the following are correct examples of applications of Chebyshev’s inequality?
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | If be a Poisson r. v. with parameter . The probability that deviates from by more than is atmost . |
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| b. | If be the number of Heads in tosses of fair coin then the probability that deviates from by more than is at most and the probability that it deviates by more than 5 is atmost . |
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| c. | Both a. and b. are correct |
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| d. | None of the above |
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Question number: 190
» Probability » Mathematical Expectation and Conditional Expectation
Question
Let be random variables, and . Assuming that expectations exist, we have = ________
Choices
| Choice (4) | Response | |
|---|---|---|
| a. |
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| b. |
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| c. | if and are independent. |
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| d. | All a. , b. and c. are correct |
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