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

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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

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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

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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

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