Generate a 1000-number random sequence on a computer

Question

Question: Generate a 1000-number random sequence on a computer.

(a) Perform the test for whiteness on the sequence, and report your results.

(b) Filter the random-number sequence, uk, with the recursive equation,

x_k+1 = 0.7 x_k + u_k

Perform the whiteness test, and report your results.