16. Suppose B is a o-field of subsets of 2 and suppose Q: B [0, 1] is a set function satisfying (a) Q is finitely additive on B. (b) 0

I need the answer as soon as possible16. Suppose B is a o-field of subsets of 2 and suppose Q: B [0, 1] is a set<br>function satisfying<br>(a) Q is finitely additive on B.<br>(b) 0 < Q(A) <1 for all A e B and Q(2) = 1.<br>(c) If A¡ e B are disjoint and , Ai = 2, then Q(A;) = 1.<br>%3D<br>Show Q is a probability measure; that is, show Q is o-additive.<br>

Extracted text: 16. Suppose B is a o-field of subsets of 2 and suppose Q: B [0, 1] is a set function satisfying (a) Q is finitely additive on B. (b) 0 < q(a)=""><1 for="" all="" a="" e="" b="" and="" q(2)="1." (c)="" if="" a¡="" e="" b="" are="" disjoint="" and="" ,="" ai="2," then="" q(a;)="1." %3d="" show="" q="" is="" a="" probability="" measure;="" that="" is,="" show="" q="" is="">

Jun 05, 2022
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