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).
X~Exponential(2) means that its a exponential distribution integrated from -inf to inf, then sub lambda as 2.
The Attempt at a Solution
the answer is 2/5 which is given but i don't get that... here is my prof's solution somehow he got 2/5
I don't understand how to get it, i end up getting infinity in the last step