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 =
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?n = p =
Solution
The parameters for the binomial random variable X are:
n = 15 (This is the number of trials, which in this case is the number of prisoners released on parole)
p = 0.30 (This is the probability of success on each trial, which in this case is the probability that a parolee returns to prison within 3 years)
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