Question 1155714
z=-0.253 for the 40th percentile. (60% are greater)
z=(x-mean)/sd
-.253=(x-200)/47
multiply through by 47
-11.89=x-200
x=188.11 -0.95

less than 17% of values.
z(.17)=-0.95
-.95=(x-200)/47
-44.8=x-200
155.2=x critical value
x<155.2 because want fewer than 17%

z(.22)=-0.77
-0.77+(x-200)/47
x-200=-36.3
x=163.7 critical value and answer.

.z(.55)=0.125
.125=(x-200)/47
5.90=x-200
x=205.90