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nadezda [96]
3 years ago
11

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 =
Mathematics
1 answer:
son4ous [18]3 years ago
6 0

Answer:  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 :-

P(X=x)=^nC_xp^x(1-p)^{n-x}, 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

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