Exponential distribution?
Let Y= √X. If X follows an exponential distribution with mean theta, find E(Y)
Let Y= √X. If X follows an exponential distribution with mean theta, find E(Y)
cidyah
f(x) = λ e^(-xλ) , x > 0
λet y=sqrt(x)
x= y^2
dx/dy = 2y dy
g(y) = 2 λ y e^(-y^2 λ) , y > 0
E(y) =
http://www.wolframalpha.com/input/?i=integrate+2ky^2+e^%28-ky^2%29+dy,+y+%3D+0+to+infinity