exercise:45a9c96b7e: 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> Suppose we are observing a process such that the time between occurrences is exponentially distributed with <math>\lambda = 1/30</math> (i.e., the average time between occurrences is 30 minutes). Suppose that the process starts at a certain tim...") |
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Suppose we are observing a process such that the time between occurrences is exponentially distributed with <math>\lambda = 1/30</math> (i.e., | |||
between occurrences is exponentially distributed with <math>\lambda = 1/30</math> (i.e., | |||
the average time between occurrences is 30 minutes). Suppose that the | the average time between occurrences is 30 minutes). Suppose that the | ||
process starts at a certain time and we start observing the process 3 hours | process starts at a certain time and we start observing the process 3 hours | ||
Latest revision as of 01:13, 14 June 2024
Suppose we are observing a process such that the time between occurrences is exponentially distributed with [math]\lambda = 1/30[/math] (i.e., the average time between occurrences is 30 minutes). Suppose that the process starts at a certain time and we start observing the process 3 hours later. Write a program to simulate this process. Let [math]T[/math] denote the length of time that we have to wait, after we start our observation, for an occurrence. Have your program keep track of [math]T[/math]. What is an estimate for the average value of [math]T[/math]?