Question: Recidivism. In the May 2003 issue of Scientific American, R. Doyle examined rehabilitation of felons in the article, "Reducing Crime: Rehabilitation is Making a Comeback." 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. Assuming that recidivism rate still applies today, solve the following problems for six newly released juvenile prisoners between 14 and 17 years old.

1. Determine the probability that the number rearrested within 3 years will be exactly four; at least four; at most five; between two and five, inclusive.
2. Determine the probability distribution of the random variable \(Y\), the number of released prisoners of the six who are rearrested within 3 years.
3. Determine and interpret the mean of the random variable Y.
4. Obtain the standard deviation of \(Y\).
5. If, in fact, exactly two of the six released juvenile prisoners are rearrested within 3 years, would you be inclined to conclude that the recidivism rate today has decreased from the \(82 \%\) rate in 1994 ? Explain your reasoning. Hint:

First consider the probability \(P(Y \leq 2)\).

Price: $2.99

Solution: The downloadable solution consists of 2 pages
Deliverable: Word Document