The normal distribution can be used in two ways:
* Given the z-value, find the left-tail area
* Given the left-tail area, find the z-value.
We cannot manually find any of those values, we need some automatic (online or offline) tool for that. We use Excel.
a) A = 36.32% = 0.3632
Use the inverse normal distribution table to find z = -0.35
b) A = 10.75% = 0.1075
Use the inverse normal distribution table to find z = -1.24
Use the same procedure to find the rest of the z-values.