ProbabilityMathematical Expectation and Conditional Expectation (ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern)): Questions 1  5 of 7
Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 472 questions. Access all new questions we will add tracking exampattern and syllabus changes. View Sample Explanation or View Features.
Rs. 300.00 or
How to register?
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 
