• Generate a random number x according to the following distributions:

(a)                    2x exp(-x²) ,    x > 0
       p(x) =  {
                         0 ,    x < 0
 
 
 

(b)                    exp(-x)/[ 1 + exp(-x) ] ,   x > 0
       p(x) = {
                         0 ,    x < 0
 
 

(c)                     x exp(-x)   ,    x > 0
       p(x) = {
                          0  ,       x < 0