ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 362 - 366 of 469
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Question number: 362
» Probability » Mathematical Expectation and Conditional Expectation
Question
Let random variables , be independent normal random variables. So if then, which of the following is the characteristic function of if and ?
Choices
| Choice (4) | Response | |
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| a. |
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| b. |
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| c. |
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| d. | All of the above |
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Question number: 363
» Probability » Tchebycheff's Inequalities
Question
While tossing 100 coin let count the number of heads. Then what is the bound probability of using Tchebycheff’s Inequality?
Choices
| Choice (4) | Response | |
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| a. | 0.33 |
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| b. | 0.50 |
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| c. | 0.67 |
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| d. | 0.25 |
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Question number: 364
Question
For each independent sequence of events , we have________
Choices
| Choice (4) | Response | |
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| a. |
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| b. |
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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: 365
» Probability » Kolmogorov's Inequalities
Question
Which of the following statement is correct?
Choices
| Choice (4) | Response | |
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| a. | Chebyshev’s Inequality is an special case of Kroneckers lemma. |
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| b. | Chebyshev’s Inequality is an special case of Kolmogorov’s Inequality. |
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| c. | Question does not provide sufficient data or is vague |
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| d. | None of the above |
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Question number: 366
» Probability » Laws of Large Numbers
Question
Suppose someone wants to estimate Prime minister’s approval rating by asking persons drawn at random from the voter population. Let
Now if he/she want to be confident that he/she is within of the actual approval rating then from how many (minimum number of) people he should ask?
Choices
| Choice (4) | Response | |
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| a. | 1000 |
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| b. | 10, 000 |
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| c. | 25, 000 |
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| d. | 50, 000 |
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