The operator of a pumping station has observed that demand for water during early after-noon hours has an approximately exponential distribution with mean 100 cfs (cubic feet persecond). a find the probability that the demand will exceed 200 cfs during the early afternoon on arandomly selected day. b what water-pumping capacity should the station maintain during early afternoons sothat the probability

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?