Suzy, senior sales analyst hired by the dealership wants to REASSESS risks. She assumes that a number of cards sold by one sales person during a certain period of time follows the Poisson distribution with the intensity = 0.15 car/day. Yet the progress is measured by a random variable (Y) defined as the number of cars sold after 40 days.
1. Find P[Y>8]
2. What proportion of sales personnel is expected to sell at least 5 and at most 12 cars during the 40-day period?
3. What is the chance to sell fewer than 12 cars during the 40-day period?