SOLUTION: Suppose 220 misprints are distributed randomly throughout a book of 200 pages. The probability that a given page contains, find the probability that a given page contains 2 or more

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Question 1172491: Suppose 220 misprints are distributed randomly throughout a book of 200 pages. The probability that a given page contains, find the probability that a given page contains 2 or more misprints. (Given e^-1.1 = 0.033287)
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
This is a Poisson with parameter 1.1, 220/200
Look at p(0) and p(1), and subtract that from 1 to get the answer of p(>=2)
for p(0) it is e^(-1)*1.1^0/0!=0.33287 NOTE that value of e^(-1.1), NOT 0.033287. It is 1/e^(1.1)
Also, given a parameter about 1, the probability of 0 should be very high.
p(1)=e^(-1.1)*1.1^1/1!=0.36616
That sum is 0.699
So the answer is 1-0.699=0.301.