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[Solution] A study is conducted to assess the impact of caffeine consumption, smoking, alcohol consumption, and physical activity on the risk of cardiovascular

Question: A study is conducted to assess the impact of caffeine consumption, smoking, alcohol consumption, and physical activity on the risk of cardiovascular disease. Suppose that 40% of participants consume caffeine and smoke. If 8 participants are evaluated, what is the probability that:

  1. Exactly half of them consume caffeine and smoke?
  2. At most 6 consume caffeine and smoke?

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