Probability-Probability Distributions (ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern)): Questions 87 - 89 of 109

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Question number: 87

» Probability » Probability Distributions » Gamma

MCQ▾

Question

Which of the following property is/are satisfied by a standard Gamma distribution with shape parameter ?

Choices

Choice (4) Response

a.

If , is decreasing with as .

b.

If , is concave upward.

c.

If, is concave downward and then upward, with inflection point at .

d.

All a. , b. and c. are correct

Question number: 88

» Probability » Probability Distributions » Beta

MCQ▾

Question

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.

α=2.59, β = 49.21

c.

d.

Question does not provide sufficient data or is vague

Question number: 89

» Probability » Probability Distributions » Beta

MCQ▾

Question

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

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