ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 300  303 of 471
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Question number: 300
» 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.  None of the above 

Question number: 301
» 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.  None of the above 

Question number: 302
» Probability » Modes of Convergences of Sequences of Random Variables » In Distribution
Question
Suppose that is a sequence of random variables (defined on the same probability space) and that the distribution of converges to the distribution of the constant . Then________.
Choices
Choice (4)  Response  

a.  as th mean 

b.  as in probability 

c.  almost everywhere 

d.  None of the above 

Question number: 303
» 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.  as and as 

b.  increases and then decreases with mode at 

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

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