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At a drug rehab center 40% experience depression and 30% experience weight gain. 16% experience both. If a patient from the center is randomly selected,

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At a drug rehab center 40% experience depression and 30% experience weight gain. 16% 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. C] b. experiences depression given that the patient experiences weight gain. C] c. experiences weight gain given that the patient experiences depression. E (round to 4 decimal places) d. Are depression and weight gain mutually exclusive? 0 no 0 yes e. Are depression and weight gain independent? 0 yes 0 no

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