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 A = 3.5. (a) What is the probability that at most 5 cars per year will experience a catastrophe? (b) What is the probability that more than 2 cars per year will experience a catastrophe?

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please help me solve. if you solve correctly i will be glad to rate you. thank you so much and please show the steps you used to solve. please solve both a and b and please do not round your answer. thank you so much

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 A = 3.5.
(a) What is the probability that at most 5 cars per year will experience a catastrophe?
(b) What is the probability that more than 2 cars per year will experience a catastrophe?
Transcribed Image Text: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 A = 3.5. (a) What is the probability that at most 5 cars per year will experience a catastrophe? (b) What is the probability that more than 2 cars per year will experience a catastrophe?
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