<p>The probability density function (p.d.f.) of a discrete random variable \(Y\) is given by</p>
<p style="text-align: center">\[P(Y = y) = ky^2, \quad y = 1, 2, 3, 4, 5,\]</p>
<p>where&nbsp;\(k\) is a constant.</p>
<ol class="i-list"><li><div class="list-item-content"><span class="list-item-text">Find the value of \(k\).</span></div></li><li><div class="list-item-content"><span class="list-item-text">Hence find (a) \(P(Y &lt; 2)\), (b) \(P(1 &lt; Y \le 3)\) and (c) \(P(Y &gt; 3)\).</span></div></li></ol>

The probability density function (p.d.f.) of a discrete random variable \(Y\) is given by

\[P(Y = y) = ky^2, \quad y = 1, 2, 3, 4, 5,\]

Hence find (a) \(P(Y < 2)\), (b) \(P(1 < Y \le 3)\) and (c) \(P(Y > 3)\).

Solving for Unknowns In Probability Distribution Table

Discrete Random Variables (DRV)

International Baccalaureate Higher Level Mathematics

Finding unknown constant in pdf

Finding unknown constant in pdf