exercise:455de8f1bf: 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> 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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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 | chosen at random for a recitation in each class period. There are 32 class periods in | ||
a term. | a term. | ||
<ul><li> Write a formula for the exact probability that a given student is called upon | <ul style="list-style-type:lower-alpha"><li> Write a formula for the exact probability that a given student is called upon | ||
<math>j</math> times during the term. | <math>j</math> times during the term. | ||
</li> | </li> | ||
Latest revision as of 00:08, 14 June 2024
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.