SOLUTION: On an average there are 3 mistakes on a page of book. The book contains 200 pages. What is the probability that a randomly selected page has: a. exactly one mistake b. at most tw

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Question 1202569: On an average there are 3 mistakes on a page of book. The book contains 200 pages. What is the probability that a randomly selected page has:
a. exactly one mistake b. at most two mistakes.
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
i think this might follow a poisson distribution.
the formula for poisson distribution is p(x) = e^-L * L^x / x!
e is the scientific constant of 2.718281828.
L is the mean number of occurrences = 3
x will be 1 and / or 2.

a. exactly one mistake:

formula becomes p(1) = e^-3 * 3^1 / 1! = .1493612081.

b. at most two mistakes.

p(0) = e^-3 * 3^0 / 0! = .0497870684
p(2) = e^-3 * 3^2 / 2! = .2240418077.
at most 2 mistakes is equal to p(0) + p(1) + p(2) = .0497870684 + .1493612081 + .2240418077 = .4231900811.

the online calculator at https://homepage.divms.uiowa.edu/~mbognar/applets/pois.html can do the calculsations for you.

here are the results from using that calculator.