Given that $X$~$N(7,11)$ and $\mathrm{P}(\left| X-k \right|

Question

Given that $X$~$N(7,11)$ and $\mathrm{P}(\left| X-k \right|<4)=0.292$. Find $k$.

Accepted Answer

$k = 1.20 or 12.8; a = 1.02$

Worked Example 3