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Methadone treatment for opioid addiction has approximately a 75% rate of success for patients who remain in the program for 45-90 days. If 4 patients

Methadone treatment for opioid addiction has approximately a 75% rate of success for patients who remain in the program for 45-90 days. If 4 patients are treated with methadone for at least 45 days, then:

(a) What is the probability that all 4 recover from their opioid addiction? Show your calculation and give your answer as a percent, rounded to two decimals.

(b) What is the probability that none of them recovers? Show your calculation and give your answer as a percent, rounded to two decimals.

(c) What is the probability that at least one of them recovers? Show your calculation and give your answer as a percent, rounded to two decimals.

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