The three-year recidivism rate of parolees in Florida is about 30%; that is, 30% of parolees end up back in prison within three years (www.floridaperforms.com). Assume that whether one parolee returns to prison is independent of whether any of the others returns.

a. Find the probability that exactly 6 out of 20 parolees will end up back in prison within three years,

b. Find the probability that 6 or fewer out of 20 parolees will end up back in prison within three years.