Computer simulation

Solve the question as soon as possible

The cumulative distribution function (CDF), F(X) of a triangular distribution, f(x) with endpoints (0,2) is given by F(X)=0Xf(x)dx=0,2X2,12(2X)2,1,X2 a. Obtain an equation for Xi,i=1,2, to generate random variates following the distribution f(x). You can use random variables Ri,i=1,2, that are uniformly distributed over 0 Ri1, i.e. RiU[0,1] [12 marks] b. Use the equation obtained in part b. to generate random variates Xi,i=1,2,3 for R1= 0.1,R2=0.5, and R3=0.9 [3 marks] c. Write a code snippet to generate Ri and Xi for simulation purposes. [15 marks] d. Obtain the probability density function f(x). [10 marks]