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 is the probability that more than 5 parolees out of 15 that return to prison within 3 years?

The probability that more than 5 parolees out of 15 that return to prison within 3 years is 0.2784.

Step-by-step explanation:

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

The probability of occurrence of the random variable X is, p = 0.30.

A random sample of n = 15 prisoner are selected.

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

The random variable X follows a binomial distribution with parameters n = 15 and p = 0.30.

Compute the probability that more than 5 parolees out of 15 that return to prison within 3 years as follows:

Thus, the probability that more than 5 parolees out of 15 that return to prison within 3 years is 0.2784.

answer: a. 13/44

step-by-step explanation: judging by the information given to us, we are looking for experimental probability. we can see that 13 males have chosen chocolate ice cream. there are 44 ice creams in total (remember that the total is always the denominator). so our answer is 13/44.

the answer is a beach is the best place to be