X has a discrete Uniform distribution on the integers 0, 1, 2, 3, ...,n and Y has a discrete Uniform distribution on 1,2, 3, ... , n. Show that (2n + 1) Var(X) – Var(Y ) = 12

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A: The solution of the problem is given in the next step.

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.