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Binomial Probability: Caffeine consumption & Hypertension

A study is conducted to assess the impact of caffeine consumption, smoking, alcohol consumption, and physical activity on risk of cardiovascular disease. Suppose that 40% of participants consume caffeine and smoke. If 8 participants are evaluated, what is the probability that:
A. Exact half of them consume caffeine and smoke?
B. At most 6 consume caffeine and smoke?

A recent study of cardiovascular risk factors reports that 30% of adults meet the criteria for hypertension. If 15 adults are assessed, what is the probability that:
A. Exactly 5 meet the criteria for hypertension?
B. None meet the criteria for hypertension?
C. Less than or equal to 7 meet the criteria for hypertension?

Please explain in detail how the answers were created.

Solution Preview

Please see the attachments.

The P (X) numbers are obtained by putting different values of X in the given formula. Here n = 8 and ...

Solution Summary

The solution provides step by step method for the calculation of binomial probabilities. Formula for the calculation and Interpretations of the results are also included.

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