SOLUTION: the frequency distribution of scores on an examination is closely described by a bell shaped frequency curve and the distribution has a mean of 57.5 and a standard deviation of 10.

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Question 465167: the frequency distribution of scores on an examination is closely described by a bell shaped frequency curve and the distribution has a mean of 57.5 and a standard deviation of 10.
i) what percentage of candidates would be awarded grade A if the cut-off for grade A is 75 Marks?
Answer by stanbon(75887) About Me  (Show Source):
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the frequency distribution of scores on an examination is closely described by a bell shaped frequency curve and the distribution has a mean of 57.5 and a standard deviation of 10.
i) what percentage of candidates would be awarded grade A if the cut-off for grade A is 75 Marks?
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z(75) = (75-57.5)/10 = 1.75
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%(x > 75) = %(z > 1.75) = normalcdf(1.75,100) = 4.01%
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Cheers,
Stan H.