Question

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.

Fig: 1