Question

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

Answer 1

N = 15 ; P = 0.3

Explanation:

According to the question, the data provided in the question is as follows

The percentage of parolees from prison return to prison = 30%

Number of years = 3 years

Number of prisoners released from a Texas prision is 15

Based on the above information, the value of the parameters for the binomial random variable X is

N = 15 = number of prisoners

And, the P = Percentage = 30% = 0.3