In the Scientific American article \"Reducing Rehabilitation is Making a Comebac
ID: 3176941 • Letter: I
Question
In the Scientific American article "Reducing Rehabilitation is Making a Comeback, " R. Doyle examined rehabilitation of felons. One aspect of the article discussed recidivism of juvenile prisoners between 14 and 17 years old, indicating that82% of those released in 1994 were rearrested within 3 years. Suppose that, today, six newly released juvenile prisoners between 14 and 17 years old are selected at random n = _____ p = _____ (Enter a decimal rounded to 2 decimal places) I - p = _____ (Enter a decimal rounded to 2 decimal places) Assuming that the recidivism rate is the same today as it was in 1994, determine the mean for the number, Y, who are rearrested within 3 years. Mean = _____ (Enter a decimal rounded to 4 decimal places x.xxxx) Assuming that the recidivism rate is the same today as it was in 1994, determine the standard deviation for the number, Y, who are rearrested within 3 years. Standard Deviation = _____ (Enter a decimal rounded to 4 decimal places x.xxxx)Explanation / Answer
For the given question
(a) n = 6[ as 6 students selected as random]
(b) p = 0.82 [ 82/100]
(c) 1-p = 1- 0.82 = 0.18
(d) Mean X = np = 6 * 0.82 = 4.9200
(e) Standerd deviation = sqrt(n*p*(1-p) = sqrt ( 6 * 0.82 * 0.18) = 0.9410