Given that $X$~$N(\mu ,{{\sigma }^{2}})$, $P(X5)=0.819$ and $P(X

Question

Given that $X$~$N(\mu ,{{\sigma }^{2}})$, $P(X>5)=0.819$ and $P(X<20)=0.725$. Find $\mu $ and $\sigma $.

Accepted Answer

$\mu=14.1$, $\sigma=9.94$.

Worked Example 4