<?xml version="1.0" encoding="UTF-8"?>
<quiz>
  <question type="description">
    <name>
      <text>38.1.1.5 The Cumulative Distribution Function</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<h5>The Cumulative Distribution Function</h5>
<p>Analogous to the formula for the cumulative distribution function:</p><p>&nbsp; &nbsp; &nbsp; &nbsp; \(F(x) = \displaystyle{\sum_{x_i \leq x}} \text{P}(X = x_i) \)</p><p>used in the case of a discrete random variable \(X\) with associated probabilities \(\text{P}(X = x_i)\), we define
a <span><strong>cumulative probability distribution function </strong><span style="">(cdf)</span></span>&nbsp;\(F(x)\) by means of the integral (being a form of a
sum):&nbsp;</p><p>&nbsp; &nbsp; &nbsp; &nbsp; \(F(x) = \displaystyle{\int_{-\infty}^x} f(t) \; dt \)</p><p>The cdf represents the probability of observing a value less than or equal to \(x\).</p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text/>
    </generalfeedback>
    <defaultgrade>0</defaultgrade>
    <penalty>0</penalty>
    <hidden>0</hidden>
    <idnumber/>
  </question>
</quiz>
