ProbabilityMoment and Probability Generating Functions (ISS Statistics Paper I (New 2016 MCQ Pattern)): Questions 1  4 of 7
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Question number: 1
» 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 

Question number: 2
» Probability » Moment and Probability Generating Functions
Question
If and are independent discrete random variables with the nonnegative integers as range, and with distribution function then, what is the distribution of ?
Choices
Choice (4)  Response  

a.  Poission distribution 

b.  Geometric distribution 

c.  Negative binomial distribution 

d.  None of the above 

Question number: 3
» Probability » Moment and Probability Generating Functions
Question
Let be independent count r. v. s. If the are identically distributed, each with Probability generating function then has Probability generating function________.
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  None of the above 

Question number: 4
» Probability » Moment and Probability Generating Functions
Question
Suppose that and are independent random variables taking values in N, with probability generating functions and having radii of convergence and , respectively. Then the probability generating function of is given by________ for .
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  None of the above 
