Poisson Distribution Calculator

Calculate the various values for the Poisson distribution with $\lambda = 11$ and $x = 10$.

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

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

Standard deviation: $\sigma = \sqrt{\lambda} = \sqrt{11}\approx 3.3166247903554$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