question 1

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

a. compute the probability of 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

question 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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