Question: Suppose = {, 2,...} is countable. For each i, associate to @; the number p; where Pi> 0 and =1 Pi = 1. Let

Suppose = {, 2,...} is countable. For each i, associate to @; the number p; where Pi> 0 and =1 Pi = 1. Let P(2) be the power-set, and for AB, let P(A) = , A Pi. Show that P(-) is a probability measure.

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