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Professor Bartrich has 184 students in her math class. The scores on the final exam are normally distributed and have a mean of 72.3 and a
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Professor Bartrich has 184 students in her math class. The scores on the final exam are normally distributed and have a mean of 72.3 and a
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Question 338979: Please help me solve this word problem:
Professor Bartrich has 184 students in her math class. The scores on the final exam are normally distributed and have a mean of 72.3 and a standard deviation of 8.9. How many students in the class can be expected to receive a score between 82 and 90? Answer by stanbon(75887) (Show Source):
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Professor Bartrich has 184 students in her math class. The scores on the final exam are normally distributed and have a mean of 72.3 and a standard deviation of 8.9. How many students in the class can be expected to receive a score between 82 and 90?
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Find the z-score of 82 and of 90.
z(82) = (82-72.3)/8.9 = 1.09
z(90) = (90-72.3)/8.9 = 1.99
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P(82<= x <=90) = P(1.09<= z <=1.99) = normalcdf(1.09,1.99) = 0.1146
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Cheers,
Stan H.
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