1. 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. Assume that the distribution of the number of cars per year that experience the fault is a Poisson random variable with X = 5. (a) What is the probability that, at most, 3 cars per year will experience a catastro- phe? (b) What is the probability that more than 1 car per year will experience a catastro- phe?

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