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In a country, the mean time served by prisoners released from prison for the first time is 34.4 months. Assume the standard deviation of the times served is 15.3 months. Let x denote time served to first release by a prisoner. Complete parts (a) through (e) below.
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 77.9 months and 26.3 months. Round your answers to two decimal places.
d. Interpret your answers in part (c).
e. Construct a graph that depicts your results from parts (b) and (c).
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