Answer to Question #72710 in Statistics and Probability for Danish

Question

An automobile manufacturer is concerned about
a fault in the braking mechanism of a particular model.
The fault can, on rare occasions, cause a catastrophe at
high speed. The distribution of the number of cars per
year that will experience the catastrophe is a Poisson
random variable with λ = 5.
(a) What is the probability that at most 3 cars per year
will experience a catastrophe?
(b) What is the probability that more than 1 car per
year will experience a catastrophe?