Revision as of 02:20, 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> In a class of 80 students, the professor calls on 1 student chosen at random for a recitation in each class period. There are 32 class periods in a term. <ul><li> Write a formula for the exact probability that a given student is called upon <math...")
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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]

In a class of 80 students, the professor calls on 1 student

chosen at random for a recitation in each class period. There are 32 class periods in a term.

  • Write a formula for the exact probability that a given student is called upon [math]j[/math] times during the term.
  • Write a formula for the Poisson approximation for this probability. Using your formula estimate the probability that a given student is called upon more than twice.