PRB-32

Poisson mean=λ

Poisson mean equals rate.

Reading speed

GoverningPoisson mean=λ

Governing equation

E[X]=\\lambda

where

lam: lam (—)
EX: Poisson mean=λ (—)

Lecture brief

Historical brief

Bernoulli trials, Poisson, Gauss, Bayes and Shannon entropy turned chance into a calculus of belief and noise. The lab computes likelihood, interval and information in SI-free counts. This sheet (PRB-32 — Poisson mean=λ) is the form associated with Poisson mean=λ. Working symbols: $lam$ $\rightarrow$ $EX$ . Poisson mean equals rate. Pedagogical SI sheet with a live model and a swept parameter.

Purpose

Purpose: compute

EX

from

lam

in Probability & statistics via

E[X]=\\lambda

Poisson mean equals rate. Use it when a real probability & statistics question must be answered in SI before a code check.

Live realistic example

In symbols

Live case. Given

lam = 4.000\,\mathrm{—}

, the governing relation

E[X]=\\lambda

yields

EX = 4.000\,\mathrm{—}

. One governing identity, SI units, a single sweep on the sheet. Move a slider: the numbers are this situation, not a canned story.

Calculator

Inputs

lam lam4 —

Outputs

Poisson mean=λ EX4.000 —

Reading speed

Watch on YouTube

Free library

Full library

Free PDF / open book

YouTube channels

00:0 / 00:08

Narration of this film

One governing identity, SI units, a single sweep on the sheet.

Poisson mean equals rate. Pedagogical SI sheet with a live model and a swept parameter.

Reading speed

Watch on YouTube