ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 319 - 322 of 472
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Question 319
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 | |
Question 320
Question
MCQ▾If in mean, then ________.
Choices
| Choice (4) | Response | |
|---|---|---|
a. | in probability. | |
b. | almost everywhere | |
c. | in distribution. | |
d. | Both a. and c. are correct | |
Question 321
Question
MCQ▾Suppose Suppose is a random variable such that the conditional distribution of given is negative binomial with stopping parameter and success parameter . Then conditional distribution given follows ________.
Choices
| Choice (4) | Response | |
|---|---|---|
a. | ||
b. | ||
c. | ||
d. | None of the above | |
Question 322
Question
MCQ▾Suppose the continuous random variables X and Y have the following joint probability density function: for and . What is the conditional density of given ?
Choices
| Choice (4) | Response | |
|---|---|---|
a. | ||
b. | ||
c. | ||
d. | ||