Answer to Question #213375 in Statistics and Probability for jethro da silva

Question

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?

Answer 1

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

Given $\lambda=2.9.$

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

The probability that there are no typographical errors is $0.055023.$