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 = 8. (a) What is the probability that at most 3 cars per year will experience a catastrophe? (b) What is the probability that more than 2 cars per year will experience a catastrophe? Click here to view page 1 of the table of Poisson probability sums. Click here to view page 2 of the table of Poisson probability sums. (a) The probability that at most 3 cars per year will experience a catastrophe is (Round to four decimal places as needed.)

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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 = 8.
(a) What is the probability that at most 3 cars per year will experience a catastrophe?
(b) What is the probability that more than 2 cars per year will experience a catastrophe?
Click here to view page 1 of the table of Poisson probability sums.
Click here to view page 2 of the table of Poisson probability sums.
(a) The probability that at most 3 cars per year will experience a catastrophe is
(Round to four decimal places as needed.)
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 = 8. (a) What is the probability that at most 3 cars per year will experience a catastrophe? (b) What is the probability that more than 2 cars per year will experience a catastrophe? Click here to view page 1 of the table of Poisson probability sums. Click here to view page 2 of the table of Poisson probability sums. (a) The probability that at most 3 cars per year will experience a catastrophe is (Round to four decimal places as needed.)
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