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The scores on a psychology exam were normally distributed with a mean of 62 and a standard deviation of 6 A failing grade on the exam was anything 2 or more standard deviations below the mean. What was the cutoff for a failing​ score? Approximately what percentage of the students​ failed?

Answer 1

The answer to the first question is very simple: 62 - 2*6=50

For the second question you need to consider to the 68-95-99.7 rule.

So: 100%-95%=5%, you split that percentage in half and you get 2.5% below to standard deviation from the mean.

Answer: Approximately 2.5% percent of the students failed the exam.