Reading Questions 7a

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Problem 1. 

f(x,y)=cxy is a joint pdf on [0,1]×[0,1]. What is the value of c?

 


Problem 2. 

Consider the following joint probability table.

(a) What is the probability that X2 and Y2?

 1/4
 5/24
 1/6
 1/8
  

(b) What is the marginal probability X=1?

 1/4
 5/24
 1/6
 1/8
  

(c) Are X and Y independent?

 Yes
 No