<p>The p.d.f. of a random variable \(X\) is given by</p>
<div class="content-block content-block--table"><div class="table-container"><table style="width: 100%;"><thead><tr><th style="text-align: left; --cell-justify: flex-start">\(x\)</th><th style="text-align: left; --cell-justify: flex-start">\(-2\)</th><th style="text-align: left; --cell-justify: flex-start">\(-1\)</th><th style="text-align: left; --cell-justify: flex-start">\(0\)</th><th style="text-align: left; --cell-justify: flex-start">\(1\)</th><th style="text-align: left; --cell-justify: flex-start">\(2\)</th></tr></thead><tbody><tr><td style="text-align: left; --cell-justify: flex-start">\(\mathrm{P}(X = x)\)</td><td style="text-align: left; --cell-justify: flex-start">\(0.2\)</td><td style="text-align: left; --cell-justify: flex-start">\(0.1\)</td><td style="text-align: left; --cell-justify: flex-start">\(0.4\)</td><td style="text-align: left; --cell-justify: flex-start">\(0.1\)</td><td style="text-align: left; --cell-justify: flex-start">\(0.2\)</td></tr></tbody></table></div></div>
<p>Find \(\mathrm{E}(X)\).</p>
<p>We observe that the symmetry of the p.d.f. leads to \(\mathrm{E}(X) = 0\).</p>

The p.d.f. of a random variable \(X\) is given by

We observe that the symmetry of the p.d.f. leads to \(\mathrm{E}(X) = 0\).

Probability Distribution Table

Discrete Random Variables (DRV)

International Baccalaureate Higher Level Mathematics

Computation of expected value

Computation of expected value