# Financial Mathematics

FratBro23
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Question description

Let Ω = {1,2,3,4,5,6}, and let F be the collection of all subsets of Ω. Suppose that P is a measure such that p({j})= 1/12 for j= 1,2,3 and P({j}) = a/j for j= 4,5,6

(a) Find the value of a in order of for (Ω, F, P) to be a probability space.

(b) Let x(j) = j^2 for j in Ω, such that j<=4 and x(5)=x(6)=2?

(c) Find E[x]

(d) Let A={1,2,5}. Find ∫_A xdP. (Integer with A as base)

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