Weekly demand at a grocert store for a brand of cereal is normally distributed according to X ~ N (800 boxes, 75^2 boxes)
a. What is the probability that the demand next week is less than 710 boxes?
b. What is the probability that the demand next week is more than 965 boxes?
c. How many boxes should the store order for next week to have only a 2.5 percent chance of running short of the cereal?