ProbabilityProbability Distributions (ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern)): Questions 72  75 of 109
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Question number: 72
» Probability » Probability Distributions » Lognormal
Question
Suppose that has the lognormal distribution with parameters and . The distribution of is a 2parameter exponential family with natural statistics given by________.
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  All of the above 

Question number: 73
» Probability » Probability Distributions » Joint and Marginal Distributions
Question
and are discrete random variables which are jointly distributed with the following probability function
x  1  0  1  
1 


 
Y  0 
 0 

1 



What is the value of ?
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  All of the above 

Question number: 74
» Probability » Probability Distributions » Lognormal
Question
Which of the following properties is/are satisfied by the probability density function of the lognormal distribution with parameters and .
Choices
Choice (4)  Response  

a.  increases and then decreases with mode at 

b.  is concave upward then downward then upward again, with inflection points at 

c.  as and as 

d.  All a. , b. and c. are correct 

Question number: 75
» Probability » Probability Distributions » Joint and Marginal Distributions
Question
If is the density function for the joint distribution of the continuous random variables and defined over the unit square bounded by the points and then the value of is ________.
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  None of the above 
