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Weekly demand at a grocery store for a brand of breakfast cereal is normally distributed with a mean of 850 boxes and a standard deviation of 80...

Weekly demand at a grocery store for a brand of breakfast cereal is normally distributed with a mean of 850 boxes and a standard deviation of 80 boxes.

a) What is the probability that weekly demand is: i) Less than 900 boxes? ii) More than 1020 boxes? iii) Less than 660 boxes or greater than 980 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 percent chance of running short of this brand of cereal during the week?

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