A density function sometimes used by engineers to model lengths of life of electronic components is the Rayleigh density, given by:
f(y) = { (2y/?)e^((-y2)/?) , y>0
0 , elsewhere
a) If Y has the Rayleigh density, find the probability density function for U = Y2
b) Use the result of part (a) to find E[Y] and V(Y)
Note: There is already an answer to part (a) on Chegg, but the part (b) is incorrect, so I'm mostly interested in part (b)