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The number of customers arriving at a bookshop each day to purchase a newly released book by a popular author is normally distributed with mean
The number of customers arriving at a bookshop each day to purchase a newly released book by a popular author is normally distributed with mean 200 and a standard deviation of 50. Customers are only allowed to buy one copy each.
If the bookshop has 250 copies of the book at the start of the day, what is the probability that they run out of books?
How many books should they have in stock if they want the probability of running out to be less than 0.05?
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