Weekly demand at a grocery store for a brand of breakfast cereal is normally distributed with a mean of 800 boxes and a standard deviation of 75 boxes.
a. What is the probability that weekly demand is
(1) 959 boxes or less?
(2) More than 1,004 boxes?
(3) Less than 650 boxes or greater than 950 boxes?
b. The store orders cereal from a distributor weekly. How many boxes should the store order for a week to have only a 2.5 percent chance of running short of this brand of cereal during the week?