SOLUTION: A professor finds that the scores on a History exam are known to be normally distributed with mean and standard deviation of 55 and 15, respectively. Determine the passing score if

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Question 949888: A professor finds that the scores on a History exam are known to be normally distributed with mean and standard deviation of 55 and 15, respectively. Determine the passing score if 95% of the students are to clear the course.
Answer by stanbon(75887) About Me  (Show Source):
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A professor finds that the scores on a History exam are known to be normally distributed with mean and standard deviation of 55 and 15, respectively. Determine the passing score if 95% of the students are to clear the course.
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Find the z-score with a left-tail of 5%
invNorm(0.05) = -1.645
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Find the corresponding score::
x = -1.645*15 + 55 = 30.32
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Cheers,
Stan H.
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