Question 417977: A study is conducted to assess the impact of caffeine consumption, smoking, alcohol consumption, and physical activity on cardiovascular disease. Suppose that 40% of participants consume caffeine and smoke. If 8 participants are evaluated, what is the probability that:
Exactly half of them consume caffeine and smoke?
More than 6 consume caffeine and smoke?
Exactly 4 do not consume caffeine or smoke?
In computing this, fully discuss:
What do the results suggest?
How might you use this data from this sample size to develop a smoking cessation program at your workplace?
Provide one reference other than the Text.
I need help with this question. I will be very thankful and greatly appreciated. God bless you.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Suppose that 40% of participants consume caffeine and smoke.
If 8 participants are evaluated, what is the probability that:
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Binomial Problem with n= 8 and p = 0.4
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Exactly half of them consume caffeine and smoke?
P(x = 4) = 8C4*0.4^4*0.6^4 = binompdf(8,0,4,4) = 0.2322
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More than 6 consume caffeine and smoke?
P(7 <= x <=8) = 1 - binomcdf(8,0.4,6) = 0.0085
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Exactly 4 do not consume caffeine or smoke?
P(x = 4) = 8C4(0.6)^4*0.4^4 = 0.2322
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Cheers,
Stan H.
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