question archive X is absolutely continuous random vector with pdf =0
Subject:MathPrice: Bought3
X is absolutely continuous random vector with pdf =0.2*e^(-x/5) when x>0, pdf=0 otherwise. Y is a simple random vector, Y=20000 when x= 0 to 1, Y= 10000 when x=0 to 4, Y= 0 when x >4. What's expected value and variance of y?