PLEASE SHOW ALL WORK USING EXCEL QM

1. Patients arrive at the emergency room of Costa Valley Hosipital at an average of 5 per day. The demand for emergency room treatment at Costa Valley follows a Poisson distribution.

(a) Using a Poisson appendix, compute the probability of exactly 0,1,2,3,4 and 5 arrivals per day.

(b) What is the sum of these probabilities, and why is the number less than 1?

Please show work. Thank you..

2. cars arrive at carlas muffler shop for repair work at an average of 3 per hour, following an exponential distribution.

(a) what Is the expected time between arrivals?

(b) what is the variance of the time between arrivals?

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