Question

Asked Oct 19, 2019

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A certain newspaper reports that about 20% of all prison parolees become repeat offenders. Alice is a social worker whose job is to counsel people on parole. Let us say success means a person does not become a repeat offender. Alice has been given a group of four parolees.

(a) Find the probability *P*(*r*) of *r* successes ranging from 0 to 4. (Round your answers to three decimal places.)

P(0) = |

P(1) = |

P(2) = |

P(3) = |

P(4) = |

Step 1

From the provided information, the probability that all prison parolees become repeat offenders is 0.20. So, the probability that all prison parolees do not become repeat offenders will be (1-0.20) 0.80, which is assumed as probability of success (*p*). Consider *X* be random variable which represents the number of parolees who does not become a repeat offender. The number of trials (*n*) is 4. The binomial distribution will be used for calculating the probability as:

Step 2

Now, the required probabilities for *r*=0...

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