Probability concepts

Question

Assignment:

Probability Concepts

Question 1. 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.

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

Question 2. Cars arrive at Carla's Muffler shop for repair work at an average of 3 per hour, following an exponential distribution.

1. What is the expected time between arrivals?
2. What is the variance of the time between arrivals?