The number of patient arrivals per hour at a hospital emerge…

The number оf pаtient аrrivаls per hоur at a hоspital emergency room follows a Poisson distribution with mean, μ=10 a) What is the probability that exactly 8 patients will arrive in the next hour? [a] (round to 4 decimal places) b) What is the probability that at most 12 patients will arrive in the next hour? [b] (round to 4 decimal places) c) What is the probability that at least 15 patients will arrive in the next hour? [c] (round to 4 decimal places) d)  Calculate the standard deviation of the number of patients arriving in an hour.  Standard deviation=[d]  (round to 2 decimal places)