SOLUTION: the probability that a car will have a flat tire while driving through a certain tunnel is 0.00006. use the poissan distribution to approximate the probability that among 15000 car

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Question 327628: the probability that a car will have a flat tire while driving through a certain tunnel is 0.00006. use the poissan distribution to approximate the probability that among 15000 cars passing through the tunnel at most two will have a flat tire.
Answer by galactus(183) About Me  (Show Source):
You can put this solution on YOUR website!
The Poisson is given by
P%28x%29=L%5Ex%2Ae%5E%28-L%29%2Fx%21
In this case, L=15000%2A%28.00006%29=.9
So, AT MOST 2 means 2 and less. In other words, x=0,1,2.
So, we have to add up the three cases for 0,1,and 2.