SOLUTION: A telephonist claims that he gets 10 calls every five minutes. To demonstrate this to his boss he makes a tape lasting five minutes. What are the probabilities that he gets: a. no

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Question 1132891: A telephonist claims that he gets 10 calls every five minutes. To demonstrate this to his boss he makes a tape lasting five minutes. What are the probabilities that he gets:
a. no calls in the five minutes
b. less than three calls; and
c. exactly 10 calls?

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Poisson with parameter 10
p(0)=e^(-10)*10^0/0!=e^(-10) or 0.00005
p(1)=e^(-10)*10^1/1!=0.0005
p(2)=e^(-10)*10^2/2!=0.0023
probability of fewer than 3 calls is 0.0029
p(10)=e^(-10)*10^10/10!=0.1251