Answer to Question #304636 in Statistics and Probability for ann

Question

The number of typographical errors per page typed by a certain typist follows a Poisson distribution with a mean of 17.

Then find the probability p that the total number of errors in one randomly selected page is 13.

Round your answers to 3 decimal places.

p =   ?

Answer 1

Let $X=$ the number of typographical errors per page: $X\sim Po(\lambda).$

Given $\lambda=17.$

$$P(X=13)=\dfrac{e^{-17}(17)^{13}}{13!}\approx0.066$$