Question 1130849: 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 7.
(Please enter your answer as fractions in simplest form or as decimals rounded to four decimal places.)
a. What is the probability that at most 3 cars per year will experience a catastrophe?
b. What is the probability that more than 3 cars per year will experience a catastrophe?
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! This is the probability of 0, 1,2,and 3
for 0, e^(-7)*7^0.0!=0.0009
for 1, it is that number *7^1/1! or 7 times that or 0.0064 (not rounded until the end)
for 2, it is that number *7^2/2! or 24.5 times that or 0.0223
for 3, it is 7^3/3! or 343/6 times that or 0.0521
From calculator, it is 0.0818
More than 3 is the complement or 0.9182
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