Probability-Borel 0-1 Law [ISS (Statistical Services) Statistics Paper I]: Questions 1 - 3 of 3
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Question 1
Question MCQ▾
For each independent sequence of events , we have________
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | Both a. and b. are correct | |
d. | None of the above |
Question 2
Question MCQ▾
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. |
Question 3
Question MCQ▾
Let be independent and equidistributed. Then which of the following is correct regarding ?
Choices
Choice (4) | Response | |
---|---|---|
a. | If are infinite then will be larger than infinitely many times with probability 0. | |
b. | If are finite then will be larger than infinitely many times with probability 1. | |
c. | None of the above | |
d. | Question does not provide sufficient data or is vague |