Määritä $$$P{\left(X = 1 \right)}$$$ Poisson-jakaumalle, jonka odotusarvo on $$$2$$$

Laske Poisson-jakauman eri arvot annetuilla $$$\lambda = 2$$$ ja $$$x = 1$$$.

Keskiarvo: $$$\mu = \lambda = 2$$$A.

Varianssi: $$$\sigma^{2} = \lambda = 2$$$A.

Keskihajonta: $$$\sigma = \sqrt{\lambda} = \sqrt{2}\approx 1.414213562373095$$$A.

$$$P{\left(X = 1 \right)}\approx 0.270670566473225$$$A

$$$P{\left(X \lt 1 \right)}\approx 0.135335283236613$$$A

$$$P{\left(X \leq 1 \right)}\approx 0.406005849709838$$$A

$$$P{\left(X \gt 1 \right)}\approx 0.593994150290162$$$A

$$$P{\left(X \geq 1 \right)}\approx 0.864664716763387$$$A