community must have in order to be targeted? 6. You are interested in the different sentence lengths (in months) that cr

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community must have in order to be targeted? 6. You are interested in the different sentence lengths (in months) that criminals receive for drug charges. Sentence length scores are normally distributed and range
from 6 months to 30, with a mean sentence length of 18 months and standard deviation of 2.92. a. What would the z-score be for an individual sentenced to 15 months in prison? What does this z-score indicate (Interpret the literal meaning of the z score)? b. What would the z-score be for an individual sentenced to 22 months in prison? What does this z-score indicate (Interpret the literal meaning of the z score)? c. What is the probability of an individual receiving a sentence of 24 months or more? Be sure to draw a picture for full credit. d. What is the probability of an individual receiving a sentence of 10 months or less? Be sure to draw a picture for full credit. e. Due to overcrowding, prisoners with lengthier sentences are being moved to a different facility. Prison official decide to move the prisoners with sentence lengths falling in the top 5%. What sentence length score would be the cutoff for the top 5%? Be sure to draw a picture for full credit.