Each new book donated to a library must be processed. Suppose that the time it takes to process a book has mean 10 minutes and standard deviation 3 minutes. If a librarian has 40 books to process,
(a) approximate the probability that it will take more than 420 minutes to process all these books;
(b) approximate the probability that at least 25 books will be processed in the first 240 minutes.
What assumptions have you made?
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