1.Use the rejection method to generate a random variable having density function

f(x) = kx12e^x, x > 0

where

k =1/r (3/2)=2/

2.Use the mixed congruential method with seed 26 constant multiply 17 increment

45 and modulus100. To generate 10 uniformly distributed random variables on

(0,1).

3.Use inverse transform method to generate a random variable with density function

F(x) ={x^2/4 x + 1 2 x 3

x 2 x^2/12 3 x 6

0 otherwise