Q1: Sharm El Sheikh Duty Free sells, a famous brand of cigars, for which the weekly demand is assumed to be normally distributed with a mean of 400 units and a standard deviation of 38 units.
a) What is the probability that weekly demand is at most 480 units?
b) What is the probability that weekly demand is more than 515 units?
c) What is the probability that weekly demand is less than 350 units or more than 490 units?
d) Sharm El Sheikh Duty Free orders weekly from a distributor. How many units should be ordered for a week to have only a 2.5 percent chance of running out of stock during the week?
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