A study was conducted to determine how many state prison inmates released on parole become repeat offenders while on parole. An analyst on the parole board believes that, on average, 3 out of 5 prisoners released on parole become repeat offenders. The parole board is examining 5 prisoners up for parole. The random variable X is the number of prisoners (out of 5) on parole who become repeat offenders. The table gives the probability distribution for X.

1. A study was conducted to determine how many state prison inmates released on parole become repeat offenders while on parole. An analyst on the parole board believes that, on average 3 out of 5 prisoners released on parole become repeat offenders. The parole board is examining 5 prisoners up for parole. The random variable X is the number of prisoners (out of 5) on parole who become repeat offenders. The table gives the probability distribution forX. x P(x) 0 0.236 1 0.396 2 0.264 3 0.083 4 0.015 5 0.001 If necessary, use a leading zero and round your answers to 3 decimal places, 6.3., 0.251. {3) Find the probability that 3 or more of the ve parolees will be repeat offenders. {bl Find the expected value of the number of repeat offenders out of 5. {c} Find the standard deviah'on of of repeat offenders out of 5