Sam the Vet Is Running a Rabies Vaccination Clinic for Dogs

Essay

Sam the Vet is running a rabies vaccination clinic for dogs at the local grade school.Sam can vaccinate a dog every 3 minutes.It is estimated that the dogs will arrive independently and randomly throughout the day at a rate of 1 dog every 6 minutes, according to a Poisson distribution.Also assume that Sam's vaccinating times are exponentially distributed.Sam would like to have each waiting dog placed in a holding pen.If Sam wants to be certain he has enough cages to accommodate all dogs at least 90 percent of the time, how many cages should he prepare?