Let 0 <α< 1. Determine the

a. z-score having an area of α to its right in terms of zα.

b. z-score having an area of α to its left in terms of zα.

c. two z-scores that divide the area under the curve into a middle 1 − α area and two outside areas of α/2.

d. Draw graphs to illustrate your results in parts (a)–(c).