Chapter 3 - Section 3-4 - Mean and Variance of a Discrete Random Variable - Exercises - Page 77: 3-64

$μ=2.937$, $σ²=0.064$

$μ=E(x)=∑xP(x)=0 \times 8 \times 10^{-6}+1 \times 0.00176+2 \times 0.0576+3 \times 0.94 \approx 2.937$ $\mathbb{E}\left(X^{2}\right)=0^{2} \times 8 \times 10^{-6}+1^{2} \times 0.00176+2^{2} \times 0.0576+3^{2} \times 0.94=8.69$ $σ²=\operatorname{Var}(X)=\mathbb{E}\left(X^{2}\right)-\mathbb{E}(X)^{2} \approx0.064$