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Let U1, . .., Un be i.i.d. Unif(0, 1), and X = max(U1, . .., Un). (a) What is the PDF of X? (b) What

Let U1, . .., Un be i.i.d. Unif(0, 1), and X = max(U1, . .., Un). (a) What is the PDF of X? (b) What is EX? (c) Use simulations in R (the statistical programming language) to numerically estimate EX

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