Florida Recidivism Rate The three-year recidivism rate of parolees in Florida is about 30%; that is, 30% of parolees end up back in prison within three years (http://www.floridaperforms.com). Assume...

A P (X = 6), n = 20, p = 0.3
X ∼ Binomial(n = 20, p = 0.3)
P (X = 6) =
(
n
x
)
px(1 − p)n−x =
(20
6
)
(0.3)6(1 − 0.3)20−6 = 38760 ∗ (0.3)6(0.7)14 =
0.191639 ≈ 0.191639 ≈ 0.192
P (X = 6) = 0.192
Using excel function BinomDist(6,20,0.3,false) or TI-83/84 function
binompdf(20,0.3,6), exact answer is 0.1916389828
X
B P (X ≤ 6), n = 20, p = 0.3
P (X ≤ 6) = P (0 ≤ X ≤ 6) = P (X = 0, 1, 2, 3, 4, 5, 6)
= P (X = 0) + P (X = 1)...