Two random points are chosen uniformly inside the unit square [0, 1] x [0, 1]. What...

 

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Two random points are chosen uniformly inside the unit square [0, 1] x [0, 1]. What is the expected distance between these two points? Solve this problem by simulating this random experiment over a large number of samples. Write a code in R that can be copy-and-pasted to run this simu- lation. Warning: To avoid making careless mistakes, the problem says unit square, not unit disc. The exact value of the expectation is equal to, 1 (2+√2+5log(√2+1)) 15 You can use this exact value to see how good your simulation an- swer is when you test out your code. Make sure to double-space the lines of your code when you post it on Blackboard. Two random points are chosen uniformly inside the unit square [0, 1] x [0, 1]. What is the expected distance between these two points? Solve this problem by simulating this random experiment over a large number of samples. Write a code in R that can be copy-and-pasted to run this simu- lation. Warning: To avoid making careless mistakes, the problem says unit square, not unit disc. The exact value of the expectation is equal to, 1 (2+√2+5log(√2+1)) 15 You can use this exact value to see how good your simulation an- swer is when you test out your code. Make sure to double-space the lines of your code when you post it on Blackboard.

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Heres the R code to simulate thi... View the full answer