SOLUTION: A preliminary survey shows that 35% of college students smoke. In a class of 42 students, what is the probability that more than half the students smoke?
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Question 1103288: A preliminary survey shows that 35% of college students smoke. In a class of 42 students, what is the probability that more than half the students smoke? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! A preliminary survey shows that 35% of college students smoke. In a class of 42 students, what is the probability that more than half the students smoke?
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Binomial problem with n = 42 and p = 0.35
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mean = 0.35*42 = 14.7
std = sqrt(npq) = sqrt(14.7*0.65) = 3.0911
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z(21) = (21-14.7)/3.0911 = 2.0381
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P(x > 21) = P(z > 2.0381) = normalcdf(2.0381,100) = 0.0277
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Cheers,
Stan H.
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