ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 367 - 369 of 472
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Question number: 367
» Probability » Characteristic Function
Question
For any random variable , its characteristic function is uniformly continuous on and satisfies following properties________ always.
Choices
| Choice (4) | Response | |
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| a. | , where for a complex number, denote the conjugate. |
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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: 368
» 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: 369
» Probability » Central Limit Theorems for Independent Variables
Question
The amount of regular unleaded gasoline purchased every week at a gas station near Palampur follows the normal distribution with mean gallons and standard deviation gallons. The starting supply of gasoline is gallons, and there is a scheduled weekly delivery of gallons. Find the probability that, after weeks, the supply of gasoline will be below gallons.
Choices
| Choice (4) | Response | |
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| a. | 0.2643 |
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| b. | 0.7357 |
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| c. |
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| d. | 0.1056 |
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