It is given that $X$~$N(\mu ,{{\sigma }^{2}})$ and $P(X11)$ . It’s also given that $4P(X

Question

It is given that $X$~$N(\mu ,{{\sigma }^{2}})$ and $P(X11)$ . It’s also given that $4P(X<3)=P(X<13)$. Find $\mu$ and $\sigma$.

Accepted Answer

$\mu=8$, $\sigma=5.94$.

Worked Example 5