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Shoppers enter Hamilton Place Mall at an average of 120 per hour, and the number and shoppers is Poisson distributed.

a. What is the probability that exactly 25 shoppers will enter the mall between noon and 12:10 p.m.?
b. What is the probability that at least 5 shoppers will enter the mall between 5:00 and 5:05 p.m.?

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