Let X be the percentage score on a college entrance exam for students who did not participate in an exam prep seminar. X is modeled by a uniform distribution on [a, 100]. Let Y be the percentage score on a college entrance exam for students who did participate in an exam prep seminar. Y is modeled by a uniform distribution on [1.25a, 100] Given that E[X^2] = 19600/3 calculate the 80th percentile of y.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Let X be the percentage score on a college entrance exam for students who did not participate in an exam prep seminar. X is modeled by a uniform distribution on [a, 100]. Let Y be the percentage score on a college entrance exam for students who did participate in an exam prep seminar. Y is modeled by a uniform distribution on [1.25a, 100]

Given that E[X^2] = 19600/3 calculate the 80th percentile of y.

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