Guest Session: 1 Question Remaining. Create Account to save progress.
Login
Random Variableshard
0:00.0

Let X,YX, YX,Y be independent with X∼Gamma(2,1),Y∼Gamma(3,1)X \sim \text{Gamma}(2, 1), Y \sim \text{Gamma}(3, 1)X∼Gamma(2,1),Y∼Gamma(3,1). What is the PDF of Z=XX+YZ = \frac{X}{X+Y}Z=X+YX​?