Suppose that you arrive at a single-teller bank to find five other customers in the bank, one being served and the other four waiting in line. you join the end of the line. if the service times are all exponential with rate μ, what is the expected amount of time you will spend in the bank

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?