I need the complete Python code for the question. Thank you.

Problem 2: Suppose we would like to estimate the integral =01x2dx (a) (8pts) Since we can write =E(X2), where XU niform (0,1),X2 is an unbiased estimator of . Let us choose a control variable Y=X, construct the control variable estimator for based on a random sample X1,,Xn drawn from Uniform (0,1). Also, how much variance is reduced (in \%) by incorporating the control variable into the estimator? (b) (6pts) Construct an estimator of using antithetic variables based on the random sample X1,,Xn