SOLUTION: A car manufacturer is concerned about a fault in the braking mechanism of one of the models they released. The fault can on rare instances cause a catastrophe at high speed. Assum

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Question 1100385: A car manufacturer is concerned about a fault in the braking mechanism of one of the models they released. The fault can on rare instances cause a catastrophe at high speed. Assume that the distribution of the number of cars per year that will experience the fault is a Poisson random variable with mean 5.
(Enter your answers as fractions in simplest form or as decimals rounded to four decimal places.)
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?
Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
Look at 0 to 5
e^(-5)*5^0/0!=0.0067
e^(-5)*5=0.0337
e^(-5)*5^2/2=0.0842
e^(-5)*125/6=0.1404
e^(-5)*625/24=0.1755
e^(-5)*3125/120=0.1755
a. At most 5 is the sum 0.6150
b. More than 2 is 1- 2 or fewer or 1-0.1246=0.8754
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