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ECSE-2500: Engineering Probability
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<meta property="og:description" content="Axioms of probability, joint and conditional probability, random variables, probability density, mass, and distribution functions, functions of one and two random variables, characteristic functions, sequences of independent random variables, central limit theorem, and laws of large numbers. Applications to electrical and computer engineering problems.">
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<h1 id="name">
Engineering Probability
</h1>
<h2 id="code">
ECSE-2500
</h2>
<p>
Axioms of probability, joint and conditional probability, random variables, probability density, mass, and distribution functions, functions of one and two random variables, characteristic functions, sequences of independent random variables, central limit theorem, and laws of large numbers. Applications to electrical and computer engineering problems.
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3 credits
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Prereqs:
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<div id="prereq-classes" class="rel-info-courses">
<a class="course-pill" href="MATH-2400">MATH-2400 Introduction to Differential Equations</a>
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<table id="years-table">
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<th></th>
<th class="spring season-label">Spring</th>
<th class="summer season-label" colspan="2">Summer</th>
<th class="fall season-label">Fall</th>
</tr>
<tr>
<th colspan="2"></th>
<th class="summer2 midsum-label">(Session 1)</th>
<th class="summer3 midsum-label">(Session 2)</th>
<th></th>
</tr>
</thead>
<tbody>
<tr>
<th class="year">2023</th>
<td class="term spring offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=202301&subj_in=ECSE&crse_in=2500&schd_in=">Engineering Probability (3c)</a>
</span>
<ul class="prof-list">
<li>Tianyi Chen</li>
</ul>
<span class="course-capacity">
Seats Taken: 68/100
</span>
</div>
</td>
<td colspan="2" class="term summer offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=202305&subj_in=ECSE&crse_in=2500&schd_in=">Engineering Probability (3c)</a>
</span>
<ul class="prof-list">
<li>Uwe Kruger</li>
</ul>
<span class="course-capacity">
Seats Taken: 29/100
</span>
</div>
</td>
<td class="term fall offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=202309&subj_in=ECSE&crse_in=2500&schd_in=">Engineering Probability (3c)</a>
</span>
<ul class="prof-list">
<li>Birsen Yazici</li>
</ul>
<span class="course-capacity">
Seats Taken: 38/45
</span>
</div>
</td>
</tr>
<tr>
<th class="year">2022</th>
<td class="term spring offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=202201&subj_in=ECSE&crse_in=2500&schd_in=">Engineering Probability (3c)</a>
</span>
<ul class="prof-list">
<li>W. Randolph Franklin</li>
</ul>
<span class="course-capacity">
Seats Taken: 76/100
</span>
</div>
</td>
<td colspan="2" class="term summer offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=202205&subj_in=ECSE&crse_in=2500&schd_in=">Engineering Probability (3c)</a>
</span>
<ul class="prof-list">
<li>Uwe Kruger</li>
</ul>
<span class="course-capacity">
Seats Taken: 44/100
</span>
</div>
</td>
<td class="term fall offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=202209&subj_in=ECSE&crse_in=2500&schd_in=">Engineering Probability (3c)</a>
</span>
<ul class="prof-list">
<li>Richard J Radke</li>
</ul>
<span class="course-capacity">
Seats Taken: 56/120
</span>
</div>
</td>
</tr>
<tr>
<th class="year">2021</th>
<td class="term spring offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=202101&subj_in=ECSE&crse_in=2500&schd_in=">Engineering Probability (3c)</a>
</span>
<ul class="prof-list">
<li>W. Randolph Franklin</li>
</ul>
<span class="course-capacity">
Seats Taken: 80/140
</span>
</div>
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=202109&subj_in=ECSE&crse_in=2500&schd_in=">Engineering Probability (3c)</a>
</span>
<ul class="prof-list">
<li>Ali Tajer</li>
</ul>
<span class="course-capacity">
Seats Taken: 71/150
</span>
</div>
</td>
</tr>
<tr>
<th class="year">2020</th>
<td class="term spring offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=202001&subj_in=ECSE&crse_in=2500&schd_in=">Engineering Probability (3c)</a>
</span>
<ul class="prof-list">
<li>W. Randolph Franklin</li>
</ul>
<span class="course-capacity">
Seats Taken: 108/110
</span>
</div>
</td>
<td colspan="2" class="term summer offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=202005&subj_in=ECSE&crse_in=2500&schd_in=">Engineering Probability (3c)</a>
</span>
<ul class="prof-list">
<li>Alhussein A Abouzeid</li>
<li>Ali Tajer</li>
</ul>
<span class="course-capacity">
Seats Taken: 67/100
</span>
</div>
</td>
<td class="term fall offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=202009&subj_in=ECSE&crse_in=2500&schd_in=">Engineering Probability (3c)</a>
</span>
<ul class="prof-list">
<li>Richard J Radke</li>
</ul>
<span class="course-capacity">
Seats Taken: 122/130
</span>
</div>
</td>
</tr>
<tr>
<th class="year">2019</th>
<td class="term spring offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201901&subj_in=ECSE&crse_in=2500&schd_in=">Engineering Probability (3c)</a>
</span>
<ul class="prof-list">
<li>W. Randolph Franklin</li>
</ul>
<span class="course-capacity">
Seats Taken: 107/110
</span>
</div>
</td>
<td class="term summer2 offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201905&subj_in=ECSE&crse_in=2500&schd_in=">Engineering Probability (3c)</a>
</span>
<ul class="prof-list">
<li>Uwe Kruger</li>
</ul>
<span class="course-capacity">
Seats Taken: 56/80
</span>
</div>
</td>
<td class="term summer3 not-offered">
</td>
<td class="term fall offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201909&subj_in=ECSE&crse_in=2500&schd_in=">Engineering Probability (3c)</a>
</span>
<ul class="prof-list">
<li>Ali Tajer</li>
</ul>
<span class="course-capacity">
Seats Taken: 78/125
</span>
</div>
</td>
</tr>
<tr>
<th class="year">2018</th>
<td class="term spring offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201801&subj_in=ECSE&crse_in=2500&schd_in=">Engineering Probability (3c)</a>
</span>
<ul class="prof-list">
<li>W. Randolph Franklin</li>
</ul>
<span class="course-capacity">
Seats Taken: 67/110
</span>
</div>
</td>
<td class="term summer2 offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201805&subj_in=ECSE&crse_in=2500&schd_in=">Engineering Probability (3c)</a>
</span>
<ul class="prof-list">
<li>Dana M Chichester</li>
<li>Uwe Kruger</li>
</ul>
<span class="course-capacity">
Seats Taken: 6/30
</span>
</div>
</td>
<td class="term summer3 not-offered">
</td>
<td class="term fall offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201809&subj_in=ECSE&crse_in=2500&schd_in=">Engineering Probability (3c)</a>
</span>
<ul class="prof-list">
<li>Richard J Radke</li>
</ul>
<span class="course-capacity">
Seats Taken: 88/125
</span>
</div>
</td>
</tr>
<tr>
<th class="year">2017</th>
<td class="term spring offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201701&subj_in=ECSE&crse_in=2500&schd_in=">Engineering Probability (3c)</a>
</span>
<ul class="prof-list">
<li>Wencen Wu</li>
</ul>
<span class="course-capacity">
Seats Taken: 77/110
</span>
</div>
</td>
<td class="term summer2 not-offered">
</td>
<td class="term summer3 offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201705&subj_in=ECSE&crse_in=2500&schd_in=">Engineering Probability (3c)</a>
</span>
<ul class="prof-list">
<li>Dana M Chichester</li>
<li>Uwe Kruger</li>
</ul>
<span class="course-capacity">
Seats Taken: 17/30
</span>
</div>
</td>
<td class="term fall offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201709&subj_in=ECSE&crse_in=2500&schd_in=">Engineering Probability (3c)</a>
</span>
<ul class="prof-list">
<li>Uwe Kruger</li>
</ul>
<span class="course-capacity">
Seats Taken: 94/125
</span>
</div>
</td>
</tr>
<tr>
<th class="year">2016</th>
<td class="term spring offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201601&subj_in=ECSE&crse_in=2500&schd_in=">Engineering Probability (3c)</a>
</span>
<ul class="prof-list">
<li>Kenneth S Vastola</li>
</ul>
<span class="course-capacity">
Seats Taken: 83/110
</span>
</div>
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201609&subj_in=ECSE&crse_in=2500&schd_in=">Engineering Probability (3c)</a>
</span>
<ul class="prof-list">
<li>Theresa Marie Sommer</li>
<li>Kenneth S Vastola</li>
</ul>
<span class="course-capacity">
Seats Taken: 100/125
</span>
</div>
</td>
</tr>
<tr>
<th class="year">2015</th>
<td class="term spring offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201501&subj_in=ECSE&crse_in=2500&schd_in=">Engineering Probability (3c)</a>
</span>
<ul class="prof-list">
<li>John W Woods</li>
</ul>
<span class="course-capacity">
Seats Taken: 72/90
</span>
</div>
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201509&subj_in=ECSE&crse_in=2500&schd_in=">Engineering Probability (3c)</a>
</span>
<ul class="prof-list">
<li>Kenneth S Vastola</li>
</ul>
<span class="course-capacity">
Seats Taken: 92/125
</span>
</div>
</td>
</tr>
<tr>
<th class="year">2014</th>
<td class="term spring offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201401&subj_in=ECSE&crse_in=2500&schd_in=">Engineering Probability (3c)</a>
</span>
<ul class="prof-list">
<li>Kenneth S Vastola</li>
</ul>
<span class="course-capacity">
Seats Taken: 61/90
</span>
</div>
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201409&subj_in=ECSE&crse_in=2500&schd_in=">Engineering Probability (3c)</a>
</span>
<ul class="prof-list">
<li>Kenneth S Vastola</li>
</ul>
<span class="course-capacity">
Seats Taken: 92/100
</span>
</div>
</td>
</tr>
<tr>
<th class="year">2013</th>
<td class="term spring offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201301&subj_in=ECSE&crse_in=2500&schd_in=">Engineering Probability (3c)</a>
</span>
<ul class="prof-list">
<li>Richard J Radke</li>
</ul>
<span class="course-capacity">
Seats Taken: 58/86
</span>
</div>
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201309&subj_in=ECSE&crse_in=2500&schd_in=">Engineering Probability (3c)</a>
</span>
<ul class="prof-list">
<li>Richard J Radke</li>
</ul>
<span class="course-capacity">
Seats Taken: 67/70
</span>
</div>
</td>
</tr>
<tr>
<th class="year">2012</th>
<td class="term spring offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201201&subj_in=ECSE&crse_in=2500&schd_in=">Engineering Probability (3c)</a>
</span>
<ul class="prof-list">
<li>Biplab Sikdar</li>
</ul>
<span class="course-capacity">
Seats Taken: 71/86
</span>
</div>
</td>
<td class="term summer2 not-offered">
</td>
<td class="term summer3 offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201205&subj_in=ECSE&crse_in=2500&schd_in=">Engineering Probability (3c)</a>
</span>
<ul class="prof-list">
<li>Alhussein A Abouzeid</li>
</ul>
<span class="course-capacity">
Seats Taken: 8/20
</span>
</div>
</td>
<td class="term fall offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201209&subj_in=ECSE&crse_in=2500&schd_in=">Engineering Probability (3c)</a>
</span>
<ul class="prof-list">
<li>Biplab Sikdar</li>
</ul>
<span class="course-capacity">
Seats Taken: 66/60
</span>
</div>
</td>
</tr>
<tr>
<th class="year">2011</th>
<td class="term spring offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201101&subj_in=ECSE&crse_in=2500&schd_in=">Engineering Probability (3c)</a>
</span>
<ul class="prof-list">
<li>W. Randolph Franklin</li>
</ul>
<span class="course-capacity">
Seats Taken: 86/86
</span>
</div>
</td>
<td class="term summer2 not-offered">
</td>
<td class="term summer3 offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201105&subj_in=ECSE&crse_in=2500&schd_in=">Engineering Probability (3c)</a>
</span>
<ul class="prof-list">
<li>Kenneth S Vastola</li>
</ul>
<span class="course-capacity">
Seats Taken: 11/15
</span>
</div>
</td>
<td class="term fall offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201109&subj_in=ECSE&crse_in=2500&schd_in=">Engineering Probability (3c)</a>
</span>
<ul class="prof-list">
<li>Richard J Radke</li>
</ul>
<span class="course-capacity">
Seats Taken: 51/60
</span>
</div>
</td>
</tr>
<tr>
<th class="year">2010</th>
<td class="term spring offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201001&subj_in=ECSE&crse_in=2500&schd_in=">Engineering Probability - Restricted To Jrs/soph - Prereq/coreq: Ecse 2410 (3c)</a>
</span>
<ul class="prof-list">
<li>W. Randolph Franklin</li>
</ul>
<span class="course-capacity">
Seats Taken: 67/85
</span>
</div>
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201009&subj_in=ECSE&crse_in=2500&schd_in=">Engineering Probability (3c)</a>
</span>
<ul class="prof-list">
<li>Kenneth S Vastola</li>
</ul>
<span class="course-capacity">
Seats Taken: 73/85
</span>
</div>
</td>
</tr>
<tr>
<th class="year">2009</th>
<td class="term spring not-offered">
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=200909&subj_in=ECSE&crse_in=2500&schd_in=">Engineering Probability (3c)</a>
</span>
<ul class="prof-list">
<li>Biplab Sikdar</li>
</ul>
<span class="course-capacity">
Seats Taken: 66/95
</span>
</div>
</td>
</tr>
<tr>
<th class="year">2008</th>
<td class="term spring not-offered">
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall not-offered">
</td>
</tr>
<tr>
<th class="year">2007</th>
<td class="term spring not-offered">
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall not-offered">
</td>
</tr>
<tr>
<th class="year">2006</th>
<td class="term spring not-offered">
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall not-offered">
</td>
</tr>
<tr>
<th class="year">2005</th>
<td class="term spring not-offered">
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall not-offered">
</td>
</tr>
<tr>
<th class="year">2004</th>
<td class="term spring not-offered">
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall not-offered">
</td>
</tr>
<tr>
<th class="year">2003</th>
<td class="term spring not-offered">
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall not-offered">
</td>
</tr>
<tr>
<th class="year">2002</th>
<td class="term spring not-offered">
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall not-offered">
</td>
</tr>
<tr>
<th class="year">2001</th>
<td class="term spring not-offered">
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall not-offered">
</td>
</tr>
<tr>
<th class="year">2000</th>
<td class="term spring not-offered">
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall not-offered">
</td>
</tr>
<tr>
<th class="year">1999</th>
<td class="term spring not-offered">
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall not-offered">
</td>
</tr>
<tr>
<th class="year">1998</th>
<td class="term spring unscheduled">
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall not-offered">
</td>
</tr>
</tbody>
</table>
</div>
</div>
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