# Entrance exam

In a college entrance exam, the participants are rated as excellent, very good, good, and fair. Consider that the scores in the exam are normally distributed with a mean of 78 and a standard deviation of 7.5. The participants receiving the top 5% of the scores will be rated as excellent, the next 15% as very good, the next 40% as good, and the remaining as fair.

What is the starting score to be rated excellent? (Answer to 2 decimal places. )

What is the starting score to be rated excellent? (Answer to 2 decimal places. )

### Correct answer:

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