Question

The number of people that enter Saint Bernard’s cathedral on any given day is a Poisson distributed random variable with mean 10. In the cathedral are 14 donation boxes that are emptied every night. Each time a visitor enters the cathedral, they place a donation in a randomly chosen donation box, with each box equally likely to be chosen. Find the expected number of empty donation boxes at the end of the day.

Answer 1

As the number of people that enter Saint Bernards cathedral on any given day is a poission variate with mean 10. The total number of cathedral are 14 donation boxes .

Each time a visitor entera the cathedral,a donation in a chosen donation box with each box equally likely chosen.