A? state's recidivism rate is 27?%. This means about 27?% of released prisoners end up back in prison? (within three? years). Suppose two randomly selected prisoners who have been released are studied. Complete parts? (a) through? (c) below.
a. What is the probability that both of them go back to? prison? What assumptions must you make to calculate? this?
The probability that both of them go back to prison is__?%. ?(Round to one decimal place as? needed.)
What assumptions must you make to calculate? this?
A. The prisoners cannot be independent with regard to recidivism.
B. The prisoners must be independent with regard to recidivism.
C. The two prisoners cannot be selected at the same time.
D. No assumptions are necessary.
b. What is the probability that neither of them goes back to? prison?
The probability that neither of them goes back to prison is __?%. ?(Round to one decimal place as? needed.)
c. What is the probability that at least one goes back to? prison?
The probability that at least one goes back to prison is __%. ?(Round to one decimal place as? needed.)