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Question 3 [5 marks] Let U be a uniform (0,1) random variable. (a) Show that V1 = min{U,l U} is a uniform (0.1/2) random variable. (b) Show that V: = max{U.l U} is a uniform (112.1) random variable. (c) Demonstrate in R the results obtained in (a) and (b): using function mif, generate 1000 values of the random variable U and then plot the histograms of genented values of V1 and V3