exercise:545b6014e2: Difference between revisions
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(Created page with "<div class="d-none"><math> \newcommand{\NA}{{\rm NA}} \newcommand{\mat}[1]{{\bf#1}} \newcommand{\exref}[1]{\ref{##1}} \newcommand{\secstoprocess}{\all} \newcommand{\NA}{{\rm NA}} \newcommand{\mathds}{\mathbb}</math></div> The lifetime, measure in hours, of the ACME super light bulb is a random variable <math>T</math> with density function <math>f_T(t) = \lambda^2 t e^{-\lambda t}</math>, where <math>\lambda = .05</math>. What is the expected lifetime of this light...") |
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The lifetime, measure in hours, of the ACME super light bulb is a random variable <math>T</math> with density function <math>f_T(t) = \lambda^2 t e^{-\lambda t}</math>, | |||
is a random variable <math>T</math> with density function <math>f_T(t) = \lambda^2 t e^{-\lambda t}</math>, | |||
where | where | ||
<math>\lambda = .05</math>. What is the expected lifetime of this light bulb? What is its | <math>\lambda = .05</math>. What is the expected lifetime of this light bulb? What is its | ||
variance? | variance? | ||
Latest revision as of 22:36, 14 June 2024
The lifetime, measure in hours, of the ACME super light bulb is a random variable [math]T[/math] with density function [math]f_T(t) = \lambda^2 t e^{-\lambda t}[/math], where [math]\lambda = .05[/math]. What is the expected lifetime of this light bulb? What is its variance?