3.1 Let X be a random variable with density function

£x(x) = { 8**

x 20

x < 0.

(a) Let y = + √x (positive square-root). Find the density function, fy(y), of y for all values of y.

(b) Let Z = ax + b where a is a positive constant. Find the density function, fz(2), for all values of Z.