Acertain river floods every year. suppose that the low-water mark is set at 1 and the high-water mark y has distribution function fy (y) = p(y ≤ y) = 1 − 1 y 2 , 1 ≤ y < [infinity].

Acompany produces packets of soap powder labeled “giant size 32 ounces.” the actual weight of soap powder in such a box has a normal distribution with a mean of 33 oz and a standard deviation of 0.7 oz. to avoid having dissatisfied customers, the company says a box of soap is considered underweight if it weighs less than 32 oz. to avoid losing money, it labels the top 5% (the heaviest 5%) overweight. how heavy does a box have to be for it to be labeled overweight?