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1. The average number of patients per day at a local hospital that come in and get diagnosed with some form of cancer is known

1. The average number of patients per day at a local hospital that come in and get diagnosed with some form of cancer is known to follow a Poisson distribution with an average of 20. (a) What is the probability that exactly 19 people come in and get diagnosed with some form of cancer in the next day? (b) What is the probability that exactly 2 people come in and get diagnosed with some form of cancer in the next hour? (c) What is the probability that less than 4 people come in and get diagnosed with some form of cancer in the 3 hours? (d) What is the probability that 6 or more people people come in and get diagnosed with some form of cancer in the 5 hours?

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