Question #213375

the number of typographical errors in a bcom hons dissertation is poisson distributed with a mean of 2,9 per 100 pages. if 100 pages of the dissertation are selected randomly, what is the probability that there are no typographical errors?


1
Expert's answer
2021-07-05T15:13:52-0400

Let X=X= the number of errors on 100 pages: XPo(λ).X\sim Po(\lambda).

Given λ=2.9.\lambda=2.9.


P(X=0)=eλλ00!=e2.90.055023P(X=0)=\dfrac{e^{-\lambda}\cdot\lambda^0}{0!}=e^{-2.9}\approx0.055023

The probability that there are no typographical errors is 0.055023.0.055023.



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