At a drug rehab center 33%experience depression and 29%experience… At a drug rehab center 33%experience depression and 29%experience weight gain. 11% experience both. If a patient from the center is randomly selected, find the probability that the patient (Round all answers to four decimal places where possible.)a. experiences neither depression nor weight gain.b. experiences depression given that the patient experiences weight gain.c. experiences weight gain given that the patient experiences depression.(round to 4 decimal places)d. Are depression and weight gain mutually exclusive?yesnoe. Are depression and weight gain independent?yesnoMathStatistics and Probability MATH 128
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