Probability (ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern)): Questions 141  143 of 205
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Question number: 141
» Probability » Modes of Convergences of Sequences of Random Variables » In Distribution
Question
Let for and let Let and be the corresponding probability density functions and let and be the corresponding distribution functions. Then which of the following option is/are correct?
Choices
Choice (4)  Response  

a.  as for all 

b.  as 

c.  as for all 

d.  None of the above 

Question number: 142
» Probability » Probability Distributions » Joint and Marginal Distributions
Question
is a continuous random variable with density function for is also jointly distributed with the continuous random variable , and the conditional density of given is . Find for
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  Question does not provide sufficient data or is vague 

Question number: 143
» Probability » Probability Distributions » Gamma
Question
Suppose that and are independent random variables, and that has the gamma distribution with shape parameter and scale parameter for . Then has the ________distribution with shape parameter________and scale parameter________.
Choices
Choice (4)  Response  

a.  Gamma, 

b.  Normal, 

c.  Gamma, 

d.  None of the above 
