The​ three-year recidivism rate of parolees in a certain state is about 20​%; that​ is, 20​% of parolees end up back in prison within three years. Assume that whether one parolee returns to prison is independent of whether any of the others return. Complete parts a and b below.         Find the probability that exactly 6 out of 20 parolees will end up back in prison within three years.   The probability that exactly 6 out of 20 parolees will end up back in prison is nothing.

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The​ three-year recidivism rate of parolees in a certain state is about
20​%;
that​ is,
20​%
of parolees end up back in prison within three years. Assume that whether one parolee returns to prison is independent of whether any of the others return. Complete parts a and b below.
 
 
 
 
Find the probability that exactly
6
out of 20 parolees will end up back in prison within three years.
 
The probability that exactly
6
out of 20 parolees will end up back in prison is
nothing.
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