ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 361 - 364 of 471
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Question number: 361
» Probability » Moment and Probability Generating Functions
Question
Let be independent count r. v. s. If the are identically distributed, each with Probability generating function then has Probability generating function________.
Choices
| Choice (4) | Response | |
|---|---|---|
| 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: 362
» Probability » Central Limit Theorems for Independent Variables
Question
A waitress earns varying tips with a mean of Rs. 10.90 with a standard deviation of Rs. 5.60. Assume on the weekend she gets 60 tips. What is the probability she earns Rs. 750 or more?
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | 0.134 |
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| b. | 0.866 |
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| c. | 0.742 |
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| d. | 0.258 |
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Question number: 363
» Probability » Uniqueness and Continuity Theorems
Question
If and are two random variables such that . Then which of the following is correct?
Choices
| Choice (4) | Response | |
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| a. | and are both continuous distributions. |
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| b. | and have no relation. |
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| c. | and have same distribution. |
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| d. | Question does not provide sufficient data or is vague |
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Question number: 364
» Probability » Inversion
Question
Which of the following statement is/are correct?
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | The characteristic function of random variable uniquely characterizes its distribution. |
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| b. | Two or more random variables cannot follow same characteristic function. |
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| c. | All of the above |
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| d. | None of the above |
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