https://physlab-wiki.com/ 2026-04-28T11:30:49+00:00 https://physlab-wiki.com/ https://physlab-wiki.com/lib/tpl/UChicago/images/favicon.ico text/html 2024-01-03T17:35:58+00:00 Anonymous (anonymous@undisclosed.example.com) https://physlab-wiki.com/phylabs/lab_courses/supplemental-material/physics-and-mathematics-references/poisson_statistics/start?rev=1704321358&do=diff A variable x is Poisson-distributed if it obeys the equation $P(x) = \dfrac{\lambda^xe^{-\lambda}}{x!}$ (1) where $\lambda$ is the mean of the distribution. The Poisson distribution is a discrete distribution for integer values of $x$. Poisson distribution for events with rate r ---------- We usually encounter the Poisson distribution in this course when considering events that occur with an average rate $\lambda = rt$$P(n,rt) = \dfrac{(rt)^ne^{-rt}}{n!}$$n$$rt$$n$$rt$$\lambda = rt$$n=0…