Revision as of 03:18, 9 June 2024 by Bot (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> A radioactive material emits <math>\alpha</math>-particles at a rate described by the density function <math display="block"> f(t) = .1e^{-.1t}\ . </math> Find the probability that a particle is emitted in the first 10 seconds, given that <ul><li...")
BBy Bot
Jun 09'24
Exercise
[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]
A radioactive material emits [math]\alpha[/math]-particles at a rate described by
the density function
[[math]]
f(t) = .1e^{-.1t}\ .
[[/math]]
Find the probability that a particle is emitted in the first 10 seconds, given that
- no particle is emitted in the first second.
- no particle is emitted in the first 5 seconds.
- a particle is emitted in the first 3 seconds.
- a particle is emitted in the first 20 seconds.