Answer
a) 0.0630.
b) 2643.24
c) 0.0005.
Work Step by Step
a)$z=\frac{value-mean}{standard \ deviation}=\frac{2500-3369}{567}=-1.53.$
Using the table, the probability of z being less than -1.53 is: 0.0630.
b)By using the table, the z-score corresponding to 10%=0.1: z=-1.28. Hence the corresponding value:$mean+z⋅standard \ deviation=3369−1.28⋅567=2643.24.$
c)$z=\frac{value-mean}{standard \ deviation}=\frac{1500-3369}{567}=-3.3.$
Using the table, the probability of z being less than -3.3 is: 0.0005.
