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Due to turnover and promotion, a bank manager knows that, on average, she hires four new tellers per year. Suppose the number of tellers she hires is Poisson distributed.
A) What is the probability that in a given year, the manager hires exactly five new tellers?
B) What is the average number of tellers the manager hires in a six-month period?
C) What is the probability that the manager hires at least one new teller in a given six-month period?
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