What is the variance of the time between arrivals?
Patients arrive at the emergency room of Costa Valley Hospital a an average of 5 per day. The demand for emergency room treatment at Costa Valley follows a Poisson distribution.

Using Excel, compute the probability of exactly 0, 1, 2, 3, 4, and 5 arrivals per day.
What is the sum of these probabilities, and why is the number less 1?

Cars arrive at Carla’s Muffler shop for repair work at an average of 3 per hour, following an exponential distribution.

What is the expected time between arrivals?
What is the variance of the time between arrivals?


 

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