=+27.13. Let d.(w) be the dyadic digits of a point @ drawn at random from the unit interval. For a k-tuple (u1 ,..., u.) of O's and 1's, let N.(u1 ,..., u ,; w) be the number of m ≤ n for which (d ,, (w) ,..., dm+k-{(w)) =(u] ,..., u;). Prove a central limit theorem for N.(u ,,..., ug; w). (See Problem 6.12.)