Suppose = {, 2,...} is countable. For each i, associate to @; the number p; where...

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

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