ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 379 - 382 of 472
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Question number: 379
» Probability » Tchebycheff's Inequalities
Question
Which of the following are correct examples of applications of Chebyshev’s inequality?
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| Choice (4) | Response | |
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| 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: 380
» Probability » Mathematical Expectation and Conditional Expectation
Question
Let be random variables, and . Assuming that expectations exist, we have = ________
Choices
| Choice (4) | Response | |
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| 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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Question number: 381
» Probability » Moment and Probability Generating Functions
Question
A hen lays eggs, where . Each egg hatches with probability , independently of the other eggs. Find the probability distribution of number of chicks,
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| Choice (4) | Response | |
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| a. |
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| b. |
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| c. |
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| d. | Question does not provide sufficient data or is vague |
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Question number: 382
» Probability » Central Limit Theorems for Independent Variables
Question
Let be a ramdom variable and . A sample of size is taken from this population. What is the probability that the sum of these observations is less than ?
Choices
| Choice (4) | Response | |
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| a. |
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| b. | 0.0062 |
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| c. |
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| d. |
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