Probability [ISS (Statistical Services) Statistics Paper I]: Questions 139 - 143 of 212
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Question 139
Question MCQ▾
Continuous random variables and have a joint distribution with density function for and . Find
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | ||
d. | All of the above |
Question 140
Question MCQ▾
A chi-square (with degree of freedom) probability density function satisfies which of the following property/properties?
Choices
Choice (4) | Response | |
---|---|---|
a. | If then is decreasing with | |
b. | If , then is concave downward. | |
c. | If , is increasing with as . | |
d. | All a., b. and c. are correct |
Question 141
Question MCQ▾
Suppose that is a sequence of independent random variables with , ; , then the following option is correct?
Choices
Choice (4) | Response | |
---|---|---|
a. | in probability | |
b. | almost everywhere | |
c. | as | |
d. | Question does not provide sufficient data or is vague |
Question 142
Question MCQ▾
Consider the following statements and then choose the option in which the given statements are equivalent.
I)
II)
III) for every
IV) for every
V) for every
Choices
Choice (4) | Response | |
---|---|---|
a. | II and IV | |
b. | I, III, V | |
c. | I, V | |
d. | None of the above |
Question 143
Question MCQ▾
If has the distribution with degrees of freedom in the numerator and degrees of freedom in the denominator then, will follow ________ distribution.
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | with degrees of freedom. | |
c. | ||
d. | All of the above |