Math Statistics

Question

65% of all violent felons in the prison system are repeat offenders. If 33 violent felons are randomly selected, find the probability that  

Answer 1

65% violent offenders are repeat offenders

of a random 33 violent offenders

probability that none will reoffend = (.35)^33= about 9x10^-16

=0.0000000000000009 = about 0.00000000000009%

= virtually impossible but theoretically possible, no matter how practically improbable

police might want to keep a close eye on all 33, when they're out on the streets, running loose

or an alternative theory is that precisely because they have a serious felony record, that they're more easily arrested for new unsolved crimes they had nothing to do with. They're prime suspects, so police arrest them for anything everything, possible or even impossible, so the recidivism rate is always high, regardless how law abiding the released offender really is