ProbabilityMathematical Expectation and Conditional Expectation (ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern)): Questions 1  5 of 7
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Question number: 1
» Probability » Mathematical Expectation and Conditional Expectation
Question
Let random variables , be independent normal random variables. So if then, which of the following is the characteristic function of if and ?
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  All of the above 

Question number: 2
» Probability » Mathematical Expectation and Conditional Expectation
Question
Let and be independent; each is uniformly distributed on Let , then ________.
Choices
Choice (4)  Response  

a. 


b. 


c.  1 

d. 


Question number: 3
» Probability » Mathematical Expectation and Conditional Expectation
Question
If is the number of points rolled with a balanced die, find the expected value of .
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  None of the above 

Question number: 4
» Probability » Mathematical Expectation and Conditional Expectation
Question
Let be an exponential random variable with parameter . It’s characteristic function is________.
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  Question does not provide sufficient data or is vague 

Question number: 5
» Probability » Mathematical Expectation and Conditional Expectation
Question
Let be random variables, and . Assuming that expectations exist, we have = ________
Choices
Choice (4)  Response  

a. 


b. 


c.  if and are independent. 

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