Doing Time. According to Compendium of Federal Justice Statistics, published by the Bureau of Justice Statistics, the mean time served to first release by Federal prisoners is 32.9 months. Assume the standard deviation of the times served is 17.9 months. Let x denote time served to first release by a Federal prisoner.

a. Find the standardized version of x.

b. Find the mean and standard deviation of the standardized variable.

c. Determine the z-scores for prison times served of 81.3 months and 20.8 months. Round your answers to two decimal places.

d. Interpret your answers in part (c).

e. Construct a graph similar to Fig. 3.20 on page 168 that depicts your results from parts

(b) and (c).