5. The Springdale Public Library receives new books according to a Poisson distribution with mean 25 books

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5. The Springdale Public Library receives new books according to a Poisson distribution with mean 25 books per day. Each shelf in the stacks holds 100 books. Determine the following:

(a) The average number of shelves that will be stacked with new books each (30-day)

month.

(b) The probability that more than 10 bookcases will be needed each month, given that a bookcase has 5 shelves.

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