ProbabilityProbability 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
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
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
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 
