<p>The random variable \(X\) has distribution \(N(\mu, \sigma^2)\).</p>
<ol class="abc-list"><li><div class="list-item-content"><span class="list-item-text">Given that&nbsp;\(P(X &gt; k) = 0.45\), find the value of \(P(X &gt; 2\mu - k)\).</span><span class="inline-marks">[2]</span></div></li></ol>
<p>It is given that&nbsp;\(\mu = 4\) and \(P(1 &lt; X &lt; 4) = 0.2475\).</p>
<ol class="abc-list" start="2"><li><div class="list-item-content"><span class="list-item-text">Find the value of \(\sigma\).</span><span class="inline-marks">[2]</span></div></li><li><div class="list-item-content"><span class="list-item-text">Draw a sketch to show the distribution of \(X\) for&nbsp;\(x\) between \(-11\) and \(19\).</span><span class="inline-marks">[2]</span></div></li></ol>

The random variable \(X\) has distribution \(N(\mu, \sigma^2)\).

Given that \(P(X > k) = 0.45\), find the value of \(P(X > 2\mu - k)\).

It is given that \(\mu = 4\) and \(P(1 < X < 4) = 0.2475\).

Draw a sketch to show the distribution of \(X\) for \(x\) between \(-11\) and \(19\).

2025 VJC P2 Q9

2025 VJC P2 Q9