Probability-Laws of Large Numbers (ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern)): Questions 1 - 4 of 5
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Question number: 1
» 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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Question number: 2
» Probability » Laws of Large Numbers
Question
Let be a sequence of independent, identically distributed random variables, each having finite mean . Then, which of the following option is/are correct according to statement of Strong law of large number?
Choices
Choice (4) | Response | |
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a. |
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b. |
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c. | None of the above |
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d. | All of the above |
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Question number: 3
» Probability » Laws of Large Numbers
Question
Consider rolls of a die. Let be the outcome of the th roll. Then, if is the sum of first n rolls, which of the following is correct?
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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. |
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Question number: 4
» Probability » Laws of Large Numbers
Question
Suppose we choose at random numbers from the interval with uniform distribution. If describes the th choice and , then which of the following is correct?
Choices
Choice (4) | Response | |
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a. |
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b. |
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c. |
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d. |
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