Mary is an excellent waitress In the restaurant she can easi

Mary is an excellent waitress. In the restaurant, she can easily handle 8 tables at a time without getting overloaded/overworked. During a normal day the restaurant has an an average of 4 tables to serve at a time. What is the probability Mary will be overworked in a given day? (Hint: Find the probability there are more than 8 tables occupied)

Solution

This is a Poisson distribution with random variable X= no of tables Mary handles at a time

having a Poisson distribution with mena value = 4

P(X>8) = 0.0214

Prob for Mary overworking is 0.0214