SOLUTION: A mail order house uses an average of 300 mailbags per day. The number of bags needed each day is normally distributed with standard dev. = 50. How many bags must the company hav

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Question 383492: A mail order house uses an average of 300 mailbags per day. The number of bags needed each day is normally distributed with standard dev. = 50. How many bags must the company have on hand at the beginning of a day to be 99% certain all orders can be filled?
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
P%28Z+%3C=+z%29+=+0.99 implies that z = 2.325, approximately. Then X+=+sigma%2Az+%2B+mu+=+50%2A2.325+%2B+300+=+416.25. They would need 417 bags to be 99% certain all orders can be filled.