=+Let Y = S,/ovn and Z - (S, - Slogn)/ovn, and take 9 to consist of the sets of the form [(X] ,..., X, ) € H], k ≥ 1, H € 9k. Prove successively:

(a) P[Y, ≤x] - P[N ≤x].

(b) P[Y ,, - Z ,, 1 2 €] -> 0.

(c) P[Z ,, ≤x] -P[N ≤x].

(d) P(En[Z ,, ≤x]) - P(E)P[N ≤x] for E = 9.

(e) P(En[Z, ≤x])- P(E)P[N ≤x] for E€ 9.

(f) Po[Z, ≤x] - P[N ≤x].

(g) PIIY ,, - Z ., 1 2 €] -> 0.

(h) P_[Y ,, ≤x] - P[N ≤x].