What is the probability that on a given day only 2 patients, Basic Statistics

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What is the probability that on a given day only 2 patients

A local hospital estimates that the number of patients admitted daily to the emergency room has a Poisson probability distribution with a mean of 4.0. What is the probability that on a given day:
(a) only 2 patients will be admitted?

(b) at most 6 patients will be admitted?

(d) What is the standard deviation of the number of patients admitted?

(e) For each patient admitted, the expected daily operational expenses to the hospital are $800. If the hospital wants to be 94.9% sure of meeting daily expenses, how much money should it retain for operational expenses daily?

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Basic Statistics: What is the probability that on a given day only 2 patients

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