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(10 points) Suppose Z has beta(2,2) pdf fZ (z) = 6z(1 z) for 0 z 1. What equation must be solved to get the .25-quantile

(10 points) Suppose Z has beta(2,2) pdf fZ (z) = 6z(1 z) for 0 z 1. What equation must be solved to get the .25-quantile (25th percentile) for Z? Simplify the equation as much as possible, but you do not need to solve it.

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