A professor at a local university noted that the grades of her students were normally distributed with a mean of 78 and a standard deviation of 10. if 12.1 percent of her students failed the course and received f's, what was the maximum score among those who received an f?

Question

Mathematics

Josue Allison

1 October, 17:22

A professor at a local university noted that the grades of her students were normally distributed with a mean of 78 and a standard deviation of 10. if 12.1 percent of her students failed the course and received f's, what was the maximum score among those who received an f?

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Answers (1)

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Hugh Thornton · Answer 1

X=mean+Z*SD

Where, x=maximum score for those who received "f", mean = 78, Z value from Z tables at 12.1% (0.121) score and SD = standard deviation.

At 0.121, Z ≈ - 1.17

Therefore,

x=78-1.17*10 = 66.3%