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Apr 22 at 18:23 comment added whuber I, too, advocate drawing pictures: but they help most when they are clear and accurate. Could you therefore explain how the two patches of color represent the random variables $Z$ and $W$? Neither of them appears closely related to the minimum and maximum of $X$ and $Y.$ Consider instead diagramming typical distribution-determining events of the form $Z\le z$ or $W\le w.$
Apr 22 at 17:24 history answered AdamO CC BY-SA 4.0