Write a matlab program to1using the classical monte-carlo

Question

Write a Matlab program to:

1)Using the classical Monte-Carlo method, estimate the value of the following integral:

I = ∫₀¹ x(1-x)³ dx

Also, estimate the variance, V (I), of this estimator. Plot both the estimates as functions

of n, the number of samples generated.

2)Using a normal random generator, you have written previously, estimate the fourth-moment ofX, where X is normal with mean 5 and variance 4.

E[(X-µ)⁴] =∫_-∞^∞(x-µ)⁴f_X(x)dx

Plot this estimate as a function of the sample size.