ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 343 - 347 of 472
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Question 343
Question
MCQ▾Suppose and are independent exponential random variables with parameter . If . Then the marginal distribution of or will follow ________.
Choices
Choice (4) | Response | |
---|---|---|
a. | Poisson distribution with parameter | |
b. | Exponential distribution with parameter | |
c. | Exponential distribution with parameter | |
d. | None of the above |
Question 344
Question
MCQ▾Suppose that the income of a randomly chosen person in a certain population (in $ 1000 units) has the lognormal distribution with parameters μ = 2 and σ = 1. Find the value of .
Choices
Choice (4) | Response | |
---|---|---|
a. | 8.5063 | |
b. | 12.1825 | |
c. | 6.1255 | |
d. | All of the above |
Question 345
Question
MCQ▾Suppose that and are independent continuous random variables with the following density functions:
for and
What is the value of ?
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | ||
d. |
Question 346
Question
MCQ▾Let be a random variable with support and distribution function
Then the distribution function of is ________.
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | ||
d. | All of the above |
Question 347
Question
MCQ▾If in probability, then there exists a subsequence of such that ________.
Choices
Choice (4) | Response | |
---|---|---|
a. | as with probability 1. | |
b. | in the -th mean | |
c. | almost everywhere | |
d. | Question does not provide sufficient data or is vague |