<p>It is given that $X\sim N(\mu ,35)$ and $P(X&lt;k)=P(X&gt;7)$. </p>
<ol class="i-list"><li><div class="list-item-paragraph">Express $k$ in terms of $\mu $.</div></li></ol>
<p>Given that $P(X&lt;5.4)=0.644$,</p>
<ol class="i-list" start="2"><li><div class="list-item-paragraph">find the value of $k$. </div></li></ol>

It is given that $X\sim N(\mu ,35)$ and $P(X<k)=P(X>7)$. 

Normal Distribution

International Baccalaureate Higher Level Mathematics

Symmetrical Properties Of Normal Distribution Q3

Symmetrical Properties Of Normal Distribution Q3