USA today reported that approximately 25% of all state prison inmates released upon parole become repeat offenders while on parole. Assume the parole board is determining 5 prisoners up for parole Let x = number of prisoners out of five upon parole who become repeat offenders. Calculate the probability assignment for the x distribution
X-------P(X)
0 -------0.237
1---------0.396
2 ---------0.264
3---------0.088
4---------0.015
5---------0.001
a) Find the probability that 0ne or more of the five parolees will be repeat offenders. How does this number relate to the probability that none of the paroles will be repeat offenders?
b) Find the probability that two or more of the five parolees will be repeat offenders.
c) Find the probability that four or more of the five parolees will be repeat offenders.
d) Compute µ the expected number of repeat offenders out of five.
e) Compare ?, the standard deviation of the number of repeat offenders out of five