ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 376 - 379 of 472
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Question number: 376
» Probability » Mathematical Expectation and Conditional Expectation
Question
Let be an exponential random variable with parameter . It’s characteristic function is________.
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 | |
Question number: 377
» Probability » Central Limit Theorems for Independent Variables
Question
Suppose that you have a sample of values from a population with mean and standard deviation . What is the probability that the sample mean will be in the interval ?
Choices
| Choice (4) | Response | |
|---|---|---|
a. | 0.1056 | |
b. | 0.8944 | |
c. | 0.7888 | |
d. | 0.2112 | |
Question number: 378
» Probability » Tchebycheff's Inequalities
Question
Which of the following are correct examples of applications of Chebyshev’s inequality?
Choices
| Choice (4) | Response | |
|---|---|---|
a. | If be a Poisson r. v. with parameter . The probability that deviates from by more than is atmost . | |
b. | If be the number of Heads in tosses of fair coin then the probability that deviates from by more than is at most and the probability that it deviates by more than 5 is atmost . | |
c. | Both a. and b. are correct | |
d. | Question does not provide sufficient data or is vague | |
Question number: 379
» Probability » Mathematical Expectation and Conditional Expectation
Question
Let be random variables, and . Assuming that expectations exist, we have = ________
Choices
| Choice (4) | Response | |
|---|---|---|
a. |
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b. | if and are independent. | |
c. |
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d. | All a. , b. and c. are correct | |