The number of people arriving at a bicycle repair shop follo

The number of people arriving at a bicycle repair shop follows a Poisson distribution with an average of 5 arrivals per hour. Let X represent the number of people arriving per hour.

What is the probability that seven people arrive at the bike repair shop in a one hour period of time?

What is the probability that at most seven people arrive at the bike repair shop in a one hour period of time?

What is the probability that more than seven people arrive at the bike repair shop in a one hour period of time?

What is the probability that between 4 and 9 people, inclusively, arrive at the bike repair shop in a one hour period of time?

Solution