Generate three random samples of size n = 10000 from three independent uniform random variables (A ~ U(0, 1), 14- ~ U(0, 1) and M w U(0,1), z' = 1,...,n. Use the generated samples to estimate the following quantities (include the numerical estimates in your report). Assuming U, V, W are independent U (0, 1) random variables: (a) Let X = U/(U + V + 1) and Y = W/(W + V + 1). Compute the MGF of X, M X(t) at t = 1, and covariance Cov(X, Y)