Let X1, Y1, X2, Y2, . . . be independent random variables, each uniformly distributed in the unit interval [0, 1], and let W = (X1 + . . . + X500) − (Y1 + . . . + Y500) 500 . Let, 500 is a big number. Using the Central Limit Theorem (CLT), find a good approximation to the probability P(|W − E[W]| < 0.01).