Question: a. The bottom 30% of students failed a final examination. Scores on the test were normally distributed with a mean of 120 and standard deviation of 17. What was the passing score?

b. The scores on a national college entrance test are normally distributed with a mean of 500 and a standard deviation of 100? A college, whose yearly tuition is $50,000, has received 5000 applications. It is thinking of increasing admission standards by raising the cutoff from 650 to 700. How much tuition revenue does it stand to lose in the process?

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