<p>The continuous random variable \(X\) has probability density function given by</p>
<p>\[\mathrm{f}(x) = \begin{cases} \frac{\pi}{20} \cos\left( \frac{\pi x}{20} \right), & \text{for}\hspace{0.5em} 0 \le x \le 10 \\ 0, & \text{otherwise} \end{cases}\]</p>
<ol class="abc-list"><li><div class="list-item-content"><span class="list-item-text">Find the cumulative distribution \(F(x)\) and sketch \(y = F(x)\).</span></div></li><li><div class="list-item-content"><span class="list-item-text">Find the median \(m\).</span></div></li></ol>

The continuous random variable \(X\) has probability density function given by

\[\mathrm{f}(x) = \begin{cases} \frac{\pi}{20} \cos\left( \frac{\pi x}{20} \right), & \text{for } 0 \le x \le 10 \\ 0, & \text{otherwise} \end{cases}\]

Find the cumulative distribution \(F(x)\) and sketch \(y = F(x)\).

Probability - General

Probability

International Baccalaureate Higher Level Mathematics

Cumulative distribution function

Cumulative distribution function