PRB-21

Exponential mean

Mean waiting time.

Reading speed

GoverningExponential mean

Governing equation

\\mu=1/\\lambda

where

lam: lam (1/s)
mu: Exponential mean (s)

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-21 — Exponential mean) is the form associated with Exponential mean. Working symbols: $lam$ $\rightarrow$ $mu$ . Mean waiting time. Pedagogical SI sheet with a live model and a swept parameter.

Purpose

Purpose: compute

mu

from

lam

in Probability & statistics via

\\mu=1/\\lambda

Mean waiting time. 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 = 0.200\,\mathrm{1/s}

, the governing relation

\\mu=1/\\lambda

yields

mu = 5.000\,\mathrm{s}

. 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 lam0.2 1/s

Outputs

Exponential mean mu5.000 s

Reading speed

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Narration of this film

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

Mean waiting time. Pedagogical SI sheet with a live model and a swept parameter.

Reading speed

Watch on YouTube