Answer
a)97.88%
b)1742.57
Work Step by Step
a)$z=\frac{value-mean}{standard \ deviation}=\frac{1500-1634}{66}=-2.03.$
Using the table, the probability of z being more than -2.03 is equal to 1 minus the probability of z being less than -2.03, which is: 1-0.0212=0.9788=97.88%.
b)By using the table, the z-score corresponding to 95%=0.95: z=1.645. Hence the corresponding value:$mean+z⋅standard \ deviation=1634+1.645⋅66=1742.57.$
