Probability (ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern)): Questions 124  128 of 205
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Question number: 124
» Probability » Probability Distributions » Beta
Question
If then has ________ distribution
Choices
Choice (4)  Response  

a.  Uniform 

b.  Normal 

c.  Cauchy 

d.  None of the above 

Question number: 125
» Probability » Modes of Convergences of Sequences of Random Variables » With Probability One
Question
If as with probability 1 then,
Choices
Choice (4)  Response  

a.  as in probability. 

b.  as in rth mean. 

c.  as almost everywhere. 

d.  Question does not provide sufficient data or is vague 

Question number: 126
» Probability » Probability Distributions » Joint and Marginal Distributions
Question
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.  0.9 

b.  3.2 

c.  4.1 

d.  None of the above 

Question number: 127
» 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: 128
» 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 
