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3. John, Paul, and Darren live in three separate houses located on a perfectly linear road of length exactly 1 kilometer. Assume that the locations

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3. John, Paul, and Darren live in three separate houses located on a perfectly linear road of length exactly 1 kilometer. Assume that the locations of the three houses are independently uniformly distributed on the road. The road has no other houses. Let X denote the location of the rightmost house, and Y denote the location of the leftmost house. Find the joint CDF of X and Y i.e., P(X

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