SOLUTION: Assume that one student in a class of 27 students is randomly selected to win a prize. would it be unusal for that student to win? explain.

Question 1103306: Assume that one student in a class of 27 students is randomly selected to win a prize. would it be unusal for that student to win? explain.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Assume that one student in a class of 27 students is randomly selected to win a prize. would it be unusual for that student to win? explain.
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Binomial distribution with n = 27 and p = 1/27 =0.037
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mean = n*p = 1
std = sqrt(npq) = sqrt(1*26/27) = 0.9813
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Find the z-value of 1/27
z(0.037) = (0.037-1)/0.9813 = -0.9813
So 1/27 is 0.9813 standard deviations below the mean.
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Conclusion:: Since 1/27 is not at least 2 standard deviatioins
below the mean, the student's selection is not that unusual.
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Cheers,
Stan H.
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