ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 367 - 371 of 472
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Question number: 367
» 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 | |
|---|---|---|
a. | ||
b. |
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c. | None of the above | |
d. | Question does not provide sufficient data or is vague | |
Question number: 368
» 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 | |
|---|---|---|
a. | 0.1056 | |
b. | 0.2643 | |
c. | 0.7357 | |
d. |
| |
Question number: 369
» Probability » Tchebycheff's Inequalities
Question
For a random variable with expectation , and standard deviation , which of the following inequality is correct?
Choices
| Choice (4) | Response | |
|---|---|---|
a. |
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b. |
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c. |
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d. |
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Question number: 370
» 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?
Choices
| Choice (4) | Response | |
|---|---|---|
a. |
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b. |
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c. |
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d. |
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Question number: 371
Question
Suppose are independent events with where . If then, which of the following is correct?
Choices
| Choice (4) | Response | |
|---|---|---|
a. | a. s | |
b. | a. s | |
c. | does not converge. | |
d. | in probability. | |