SOLUTION
First we have 5% as
[tex]5\%=\frac{5}{100}=0.05[/tex]Now we will use the Zscore calculator to get the Zscore for 0.05, written as P(x>Z) = 0.05, doing this we have Z = 1.645
Now from the question, we have
[tex]\mu=50,\sigma=10[/tex]Plugging these values into the formula given we have
[tex]\begin{gathered} X=\mu+Z\sigma \\ X=50+1.645\times10 \\ X=50+16.45 \\ X=66.45 \end{gathered}[/tex]Hence the lowest score is 66.45