Question: Let U be a random variable with the continuous uniform distribution on (0,1) and let n be a positive integer. Define the floor function where

Let U be a random variable with the continuous uniform distribution on (0,1) and let n be a positive integer. Define the "floor function" where x is the greatest integer less than or equal to x. E.g. 9 = 9 but 8.9 = 8. Now, let R = nU+ 1. Find the distribution of R.

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