Let Q = (0,11. Fclass of subsets of Q. !!!)[0]) and define M. 21, and (F)(FX) Prove the following (i) Each point of 2 is an set of p-measure zero. (u) The set of all points of with only finitely many coordinates equal to 1 has p-measure () Define --D.- FAA), AF(iv) For each ere, z is a 1-1 map of onto Z (0, 1) (v) If C = {20sasi of Borel cylinder sets is an algebra. Define ela) and let T-[a,b], -sachs. Do the sets (at

c) is bounded on 7). (ki) is contin ous on T) belong to 4 ( t)e Bi-1,2), and a" is the class a*). Is- of all such set 4* (as 1, and B, vary), set 6 HS-EX, where X. X. 1) are iid then P> 0 iff EX-0. Hint: Sufficiency is contained in Theorem 5.2.7. For necessity, define where (21) is the symmetrized sequence. The hypothesis ensures P(ne) and hence also Pimax, su - convergence of 10