<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: center; --cell-justify: center">\(x\)</th><th style="text-align: center; --cell-justify: center">\(-2\)</th><th style="text-align: center; --cell-justify: center">\(-1\)</th><th style="text-align: center; --cell-justify: center">\(0\)</th><th style="text-align: center; --cell-justify: center">\(1\)</th><th style="text-align: center; --cell-justify: center">\(2\)</th></tr></thead><tbody><tr><td style="text-align: center; --cell-justify: center">\(\mathrm{P}(X=x)\)</td><td style="text-align: center; --cell-justify: center">\(0.2\)</td><td style="text-align: center; --cell-justify: center">\(0.1\)</td><td style="text-align: center; --cell-justify: center">\(0.4\)</td><td style="text-align: center; --cell-justify: center">\(0.1\)</td><td style="text-align: center; --cell-justify: center">\(0.2\)</td></tr></tbody></table></div></div>
<p>Find \(\mathrm{Var}(X)\).</p>

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

Discrete Random Variables (DRV) - General

Discrete Random Variables (DRV)

International Baccalaureate Higher Level Mathematics

Calculation of variance

Calculation of variance