Let X1,Y1, X2, Y2, ... be independent random variables, each uniformly distributed in the unit interval [0, 1], and let Ꮃ . (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).