Revision as of 02:19, 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> Previous experience with a drug suggests that the probability <math>p</math> that the drug is effective is a random quantity having a beta density with parameters <math>\alpha = 2</math> and <math>\beta = 3</math>. The drug is used on ten subject...")
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]
Previous experience with a drug suggests that the probability [math]p[/math] that
the drug is effective is a random quantity having a beta density with parameters [math]\alpha = 2[/math] and [math]\beta = 3[/math]. The drug is used on ten subjects and found to be successful in four out of the ten patients. What density should we now assign to the probability [math]p[/math]? What is the probability that the drug will be successful the next time it is used?