Probability-Probability Distributions [ISS (Statistical Services) Statistics Paper I]: Questions 83 - 86 of 108
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Question 83
Question MCQ▾
If then has ________ distribution
Choices
Choice (4) | Response | |
---|---|---|
a. | Uniform | |
b. | Normal | |
c. | Cauchy | |
d. | None of the above |
Question 84
Question MCQ▾
The cumulative distribution function for the joint distribution of the continuous random variables and is . What is the value of
Choices
Choice (4) | Response | |
---|---|---|
a. | 4.1 | |
b. | 3.2 | |
c. | 0.9 | |
d. | None of the above |
Question 85
Question MCQ▾
Which of the following property is/are satisfied by a standard Gamma distribution with shape parameter ?
Choices
Choice (4) | Response | |
---|---|---|
a. | If , is concave upward. | |
b. | If , is decreasing with as . | |
c. | If , is concave downward and then upward, with inflection point at . | |
d. | All a., b. and c. are correct |
Question 86
Question MCQ▾
A company produces bulbs that have a probability of being defective. The manufacturer does not know , but from past experience he expects this probability to be equal to . Furthermore, he quantifies his uncertainty about by attaching a standard deviation of to his estimate. After consulting with an expert in statistics, the manufacturer decides to use a Beta distribution to model her uncertainty about . What values of parameter will he use for making his assumptions true?
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | α = 2.59, β = 49.21 | |
d. | Question does not provide sufficient data or is vague |