I am a little confused with finding $P(X<3)$ and $E(X)$. Here, A,B,C are Poisson random variables with parameters 2.6,3, and 3.4, respectively. Let X be the number of errors typed in a manuscript. Each of three typists A,B,C are equally likely to type the manuscript with error rates given. For the $E(X)=\frac{1}{3}(2.6+3.4+3)=3$ but I am […]

- Tags 3, a, also, and 3.4, B, C are equally likely to type the manuscript with error rates given. For the $E(X)=\frac{1}{3}(2.6+3.4+3)=3$ but I am not sure. I am, C are Poisson random variables with parameters 2.6, having problems understanding $P(X<3)$ I am getting $\begin{align*}P(X<3) &= \left(\frac{1}{3}\right)\left(e^{-3.4}\frac{3.4^3}{3!}+e^{-2.6}, I am a little confused with finding $P(X<3)$ and $E(X)$. Here, respectively. Let X be the number of errors typed in a manuscript. Each of three typists A