The joint and marginal pmf's for X = automobile policy deductible amount and Y = homeowner policy deductible amount in Example 5.1 were y 100 p(x, y) 200 100 250 y 100 200 .5 Py(y)| .25 100 .20 .10 .20 Px(x) .5 .25 .5 250 .05 .15 .30 from which x = Expx(x) = 175 and ly = 125. %3D

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