SOLUTION: USA Today reports that about 25% of all prison parolees become repeat offenders. Alice is a social worker whose job is to counsel people on parole. Let us say success means a perso

Algebra ->  Probability-and-statistics -> SOLUTION: USA Today reports that about 25% of all prison parolees become repeat offenders. Alice is a social worker whose job is to counsel people on parole. Let us say success means a perso      Log On


   

Question 469323: USA Today reports that about 25% of all prison parolees become repeat offenders. Alice is a social worker whose job is to counsel people on parole. Let us say success means a person does not become a repeat offender. Alice has been given a group of four parolees.
(a) Find the probability P(r) of r successes ranging from 0 to 4. (Round your answers to three decimal places.) P(0) = 1
P(1) =
P(2) =
P(3) =
P(4) =
(b) Make a histogram for the probability distribution of part (a).
Found 2 solutions by edjones, stanbon:
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
p=.25, q=.75
(p+q)^4=p^4+4p^3q+6p^2q^2+4pq^3+q^4
You can do the math.
.
Ed

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
USA Today reports that about 25% of all prison parolees become repeat offenders. Alice is a social worker whose job is to counsel people on parole. Let us say success means a person does not become a repeat offender. Alice has been given a group of four parolees.
(a) Find the probability P(r) of r successes ranging from 0 to 4. (Round your answers to three decimal places.)
---
Note: This is a binomial problem with n = 4 and p = 0.25
----
For each of the following P(r) = (4Cr)(0.25)^r*(0.75)^(4-r)
-----
Example:
P(0) = (4C0)(0.25)^0*(0.75)^4 = 1*1*0.3164 = 0.3164
-------
etc.

P(1) =
P(2) =
P(3) =
P(4) =
(b) Make a histogram for the probability distribution of part (a).
-----
Cheers,
Stan H.
===========