Question: The lower quartile of a random variable X is the smallest q so that P(X ¤ q) ¥ 0.25. (This is analogous to the lower

The lower quartile of a random variable X is the smallest q so that P(X ‰¤ q) ‰¥ 0.25. (This is analogous to the lower edge of the box in the boxplot.) What€™s the lower quartile of X?

p(x) 0.4H 0.3 0.1 2 0 p(x) 0.25 0.20 0.15 0.10 0.00 -3 -2 1 2 3 p(x) 0.3 0.25- 0.20 0.15 0.1 0.05 0.00 -3 2O1 2 3 p(x) 0.30 0.25 0.2 0.15 0.1 0.05- -3 -2 1 2 3

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