ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 388 - 391 of 472
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Question 388
Question
MCQ▾Let be a sequence of independent, identically distributed random variables, each having finite mean . Then for any , which of the following option is/are correct according to statement of Weak law of large number?
Choices
| Choice (4) | Response | |
|---|---|---|
a. | ||
b. | ||
c. | All of the above | |
d. | Question does not provide sufficient data or is vague | |
Question 389
Question
MCQ▾For an infinite sequence , for every where be independent random variables on a common probability space with expected value and variance for . and which of the following inequality holds?
Choices
| Choice (4) | Response | |
|---|---|---|
a. | ||
b. | ||
c. | ||
d. | ||
Question 390
Question
MCQ▾If and are independent, then what is the distribution of ?
Choices
| Choice (4) | Response | |
|---|---|---|
a. | ||
b. | ||
c. | ||
d. | None of the above | |
Question 391
Question
MCQ▾A miner is trapped in a mine containing 3 doors. The first door leads to a tunnel that will take him safety after 3 hours of travel, the second door leads to a tunnel that will return him to the mine after 5 hours of travel. The third door leads to a tunnel that will return him to the mine after 7 hours of travel. If we assume that the miner is at all times equally likely to choose any one of the doors, find the expected time for him to get to safety.
Choices
| Choice (4) | Response | |
|---|---|---|
a. | 3 | |
b. | 5 | |
c. | 15 | |
d. | All of the above | |