Probability (ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern)): Questions 155  158 of 205
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Question number: 155
» Probability » Probability Distributions » Distributions of Functions of Random Variables
Question
Let be a random variable with support and distribution function
Then the distribution function of is ________.
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  All of the above 

Question number: 156
» Probability » Modes of Convergences of Sequences of Random Variables » With Probability One
Question
If in probability, then there exists a subsequence of such that ________.
Choices
Choice (4)  Response  

a.  almost everywhere 

b.  as with probability 1. 

c.  in the th mean 

d.  Question does not provide sufficient data or is vague 

Question number: 157
» Probability » Inversion
Question
Let be a real random variable whose characteristic function is integrable over so . Then has a bounded continuous density on given by________.
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 158
» Probability » Moment and Probability Generating Functions
Question
For a random variable , if we have the moment generating function , for . Then the distribution of is ________.
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  Question does not provide sufficient data or is vague 
