SOLUTION: An auto salesperson sells on average 4.2 cars per month. Find the probability that during a given month, the salesperson will sell less than three cars.

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Question 1182503: An auto salesperson sells on average 4.2 cars per month. Find the probability that during a given month, the salesperson will sell less than three cars.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
assuming this is a Poisson distribution, this is looking for 0,1,2 cars with a parameter of 4.2
p(0)=e^(-4.2)=0.015
p(1)=e^(-4.2)*4.2^1=0.0630
p(2)=e^(-4.2)*4.2^2/2=0.1323
That sum is 0.2103
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Also, calculator 2ndVARSpoissoncdf(4.2,2)=0.2102, the same result although less rounding here than above.