At a drug rehab center 39% experience depression and 28% experience weight gain. 18% 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)

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**Probability and Statistics Exercise: Drug Rehab Center Case Study**

At a drug rehab center, 39% of patients experience depression, and 28% experience weight gain. Additionally, 18% of patients experience both. If a patient from the center is randomly selected, find the probability of the following scenarios (round all answers to four decimal places where possible):

a. The patient experiences neither depression nor weight gain.
b. The patient experiences depression given that the patient experiences weight gain.
c. The patient experiences weight gain given that the patient experiences depression.

**Questions:**

d. Are depression and weight gain mutually exclusive?
   - ○ yes
   - ○ no

e. Are depression and weight gain independent?
   - ○ yes
   - ○ no

**Submission:**

Submit your answers by clicking the "Submit Question" button.

**Note:** Ensure to round your probabilities to four decimal places for precise calculations.
Transcribed Image Text:**Probability and Statistics Exercise: Drug Rehab Center Case Study** At a drug rehab center, 39% of patients experience depression, and 28% experience weight gain. Additionally, 18% of patients experience both. If a patient from the center is randomly selected, find the probability of the following scenarios (round all answers to four decimal places where possible): a. The patient experiences neither depression nor weight gain. b. The patient experiences depression given that the patient experiences weight gain. c. The patient experiences weight gain given that the patient experiences depression. **Questions:** d. Are depression and weight gain mutually exclusive? - ○ yes - ○ no e. Are depression and weight gain independent? - ○ yes - ○ no **Submission:** Submit your answers by clicking the "Submit Question" button. **Note:** Ensure to round your probabilities to four decimal places for precise calculations.
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