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November 3rd, 2015, 04:25 PM  #1 
Newbie Joined: Nov 2015 From: Mexico Posts: 3 Thanks: 0  Continuous probability; find probability density function
Let X and Y be random variables and let $Z = \frac{(X+Y)}{2}$. Suppose you randomly choose two numbers X,Y∈[1,3]. Find the probability density function of Z and the expected value E(Z)

November 3rd, 2015, 05:54 PM  #2 
Global Moderator Joined: May 2007 Posts: 6,727 Thanks: 687 
Missing information  probability distributions for X and Y. Also are they assumed independent?

November 3rd, 2015, 06:04 PM  #3 
Newbie Joined: Nov 2015 From: Mexico Posts: 3 Thanks: 0 
Yes, they are assumed independent

November 4th, 2015, 03:55 PM  #4 
Global Moderator Joined: May 2007 Posts: 6,727 Thanks: 687  
November 4th, 2015, 05:30 PM  #5 
Newbie Joined: Nov 2015 From: Mexico Posts: 3 Thanks: 0 
Yes, that´s right

November 5th, 2015, 01:51 PM  #6 
Global Moderator Joined: May 2007 Posts: 6,727 Thanks: 687  

Tags 
continuous, density, find, function, probabability, probability, randomly 
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