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In: Statistics and Probability

The scores on an anthropology exam are normally distributed with a mean of 76 and a...

The scores on an anthropology exam are normally distributed with a mean of 76 and a standard deviation of 5. Show your work step by step to receive full credit.

1) (6 points) The failing grade is anything 2.5 or more standard deviations below the mean. What is the cutoff for a failing score?

2) (6 points) If 3000 students took the exam, how many students failed? 3) (6 points) If 3000 students took the exam and the cutoff for an “A” grade is 90, how many students got an “A”?

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