ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 300  303 of 472
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Question number: 300
» Probability » Modes of Convergences of Sequences of Random Variables » In Distribution
Question
Suppose that has the discrete uniform distribution on for each and let denote the probability density function of Let have the continuous uniform distribution on the interval . Then which of the following is correct option?
Choices
Choice (4)  Response  

a.  for each but 

b.  The distribution of converges to the distribution of as 

c.  as for all 

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

Question number: 301
» 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: 302
» 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: 303
» 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.  almost everywhere 

c.  as in probability 

d.  All of the above 
