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X and Y are two points that are selected according to a uniform distribution. Calculate the expected value of the distance between these two points

X and Y are two points that are selected according to a uniform distribution. Calculate the expected value of the distance between these two points for each of the following cases:

  • a) Both X and Y are selected independently from the range 0-1.

  • b) We select X between 0 and 1 and then select Y between 0 and X.

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