The company Autotrans specializes in the transport of vehicles between manufacturers and retailers. Every once and a while a car is damaged during transport—a median of 1.21 vehicles per month. The standard deviation of the damaged vehicles is 1.1 vehicles.

(a) What is the probability that three cars are damaged in a month? Which distribution applies? Explain your answer.

(b) What is the probability that 16 vehicles are damaged in 12 months?

(c) What is the probability that between 10 and 20 vehicles are damaged in 12 months? Explain why another distribution applies.