Find $P{\left(X = 1 \right)}$ for the Poisson distribution with mean of $2$

Calculate the various values for the Poisson distribution with $\lambda = 2$ and $x = 1$.

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

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

Standard deviation: $\sigma = \sqrt{\lambda} = \sqrt{2}\approx 1.414213562373095$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