sneaky666
Oct24-10, 03:12 PM
1. The problem statement, all variables and given/known data
Let X and Y be jointly absolutely continuous Random Variables. Suppose X~Exponential(2) and that P(Y>5|X=x)=e-3x. Compute p(Y>5).
2. Relevant equations
X~Exponential(2) means that its a exponential distribution integrated from -inf to inf, then sub lambda as 2.
3. The attempt at a solution
the answer is 2/5 which is given but i dont get that... here is my prof's solution somehow he got 2/5
http://i.imgur.com/PCgDI.jpg
I don't understand how to get it, i end up getting infinity in the last step
Let X and Y be jointly absolutely continuous Random Variables. Suppose X~Exponential(2) and that P(Y>5|X=x)=e-3x. Compute p(Y>5).
2. Relevant equations
X~Exponential(2) means that its a exponential distribution integrated from -inf to inf, then sub lambda as 2.
3. The attempt at a solution
the answer is 2/5 which is given but i dont get that... here is my prof's solution somehow he got 2/5
http://i.imgur.com/PCgDI.jpg
I don't understand how to get it, i end up getting infinity in the last step