SOLUTION: Use the Poisson model to approximate the probability. Round your answer to four decimal places. The probability that a call received by a certain switchboard will be a wrong num

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Question 1189864: Use the Poisson model to approximate the probability. Round your answer to four decimal places.
The probability that a call received by a certain switchboard will be a wrong number is 0.02. Use the Poisson distribution to approximate the probability that among 120 calls received by the switchboard, there are no wrong numbers.

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
E(X)=120*0.02=2.4=np the Poisson parameter (do the same thing with a lottery problem)
probability is e^(-2.4)*2.4^0/0!
=0.0907
Modest accuracy as n is not large and p is not infinitesimally small
Actual value is 0.98^120=0.0082