in texas, 30% of parolees from prison return to prison within 3 years. suppose 15 prisoners are released from a texas prison on parole. assume that whether or not one prisoner returns to prison is independent of whether any of the others return to prison. let the random variable x be the number of parolees out of 15 that return to prison within 3 years. what are the values of the parameters for the binomial random variable x?

n =

p =

 n= 15

p= 0.30  

Step-by-step explanation:

Binomial distribution :

Let x be a binomial variable.

The probability of getting success in x trials is given by :-

, where n is the total number of trials and p is the probability of getting success in each trail.

Given : The proportion of parolees from prison return to prison within 3 years= 0.30

We assume that whether or not one prisoner returns to prison is independent of whether any of the others return to prison.

⇒  p =0.30

Let the random variable X be the number of parolees out of 15 that return to prison within 3 years.

⇒ n= 15

x = 25/2304

step-by-step explanation: