SOLUTION: I would like to know how to answer this probability question Weekly demand for an item is distributed normally with a mean of 630, and a standard deviation of 50. If you stocked

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Question 973434: I would like to know how to answer this probability question
Weekly demand for an item is distributed normally with a mean of 630, and a standard deviation of 50. If you stocked exactly the mean of demand what is the probability that demand will exceed what you have in stock. Then question 2 is what is the probability of the demand exceeding what you stock if you stock 10% over the mean demand
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
mean=630 sd=50
The first is 50%
z= (value-mean)/sd
But value=mean, so z=0, and that is at the midpoint of the probability curve.
z=(693-630)/50 ;; 10% over the mean demand is 10%of 630 (63) added to 630.
z=63/50= +1.26
The probability wanted is that of z>1.26 This is relatively small, and in fact it is 0.104