SOLUTION: USA Today reported that approximately 25% of all state prison inmates released on parole become repeat offenders while on parole. Suppose the parole board is examining five prisone

Algebra ->  Probability-and-statistics -> SOLUTION: USA Today reported that approximately 25% of all state prison inmates released on parole become repeat offenders while on parole. Suppose the parole board is examining five prisone      Log On


   



Question 1100503: USA Today reported that approximately 25% of all state prison inmates released on parole become repeat offenders while on parole. Suppose the parole board is examining five prisoners up for parole. Let x = number of prisoners out of five on parole who become repeat offenders.
x 0 1 2 3 4 5
P(x) 0.204 0.370 0.230 0.156 0.039 0.00
(e) Compute σ, the standard deviation of the number of repeat offenders out of five. (Round your answer to two decimal places.)

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Were you given this discrete probability table or did you compute it?
Using 25% and the binomial probability function, you would get,
0,0.237
1,0.396
2,0.264
3,0.088
4,0.015
5,0.001
I'll show you how to solve with the data you provided.
If you need to modify, just follow the same procedure.
Find the mean,
mu=sum%28x%2AP%28x%29%29
mu=1.454
Then find,
V=sum%28%28x-mu%29%5E2%2AP%28x%29%29
V=1.202
and finally,
sigma=sqrt%28V%29
sigma=1.096
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