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EDIT: Fixed errors on the piecewise. From Luke: p(getting HIV) = 1 - p(not getting HIV) = 1 - (1 - 0.35)^3 = 0.725375 or 72.5% From Charlie: = 1 - (1 - 0.6)^2 = 0.84 or 84% From Matt: = 1 - (1 - 0.25)^5 = 0.762695 or 76.3% For the piecewise function, first assume that the problem asks...