Let 0 <α< 1. For a t-curve, determine

a. the t-value having area α to its right in terms of tα.

b. the t-value having area α to its left in terms of tα.

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

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