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You decide to join AmeriCorps after graduation and you are put in charge of tutoring elementary school students in reading. You propose that the lowest 5% should be given remedial training and the highest 5% should be offered advanced instruction.

The reading scores in the school district to which you are assigned are approximately normally distributed with $\mu$=100 and $\sigma$=15.

Find the reading scores that define the top 5% and the bottom 5%.

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