Poisson-jakauman laskin

Laske Poisson-jakauman eri arvot annetuilla $$$\lambda = 11$$$ ja $$$x = 10$$$.

Keskiarvo: $$$\mu = \lambda = 11$$$A.

Varianssi: $$$\sigma^{2} = \lambda = 11$$$A.

Keskihajonta: $$$\sigma = \sqrt{\lambda} = \sqrt{11}\approx 3.3166247903554$$$A.

$$$P{\left(X = 10 \right)}\approx 0.119378060228025$$$A

$$$P{\left(X \lt 10 \right)}\approx 0.340510642465661$$$A

$$$P{\left(X \leq 10 \right)}\approx 0.459888702693687$$$A

$$$P{\left(X \gt 10 \right)}\approx 0.540111297306313$$$A

$$$P{\left(X \geq 10 \right)}\approx 0.659489357534339$$$A