In the Scientific American article “Reducing Rehabilitation is Making a Comeback

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 that 82% 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)

1 – p =    (Enter a decimal rounded to 2 decimal places)  

D) 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)

E) 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

HEre n = 6

p = 0.82

1 - p = 0.18

(D)

Mean = E(X) = 6 * 0.82 = 4.92

(E) Std = Sqrt (0.82 * 0.18 * 6) = 0.9411

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