Español | Português
  1. Home
  2. Calculators
  3. Calculators: Probability/Statistics
  4. Probability/Statistics Calculator

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

The calculator will find the probability that $$$X = 1$$$ for the Poisson distribution with the mean of $$$2$$$ and variance of $$$4$$$.

If the calculator did not compute something or you have identified an error, or you have a suggestion/feedback, please write it in the comments below.

Your Input

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

Answer

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