(6) p.d.f. X and Y are two independent continuous random variables. X and Y share the same f(t) = 3 for t > 1 14, 0, 1 otherwise. Define a new random variable Z = max{X,Y}. Find E[Z]. (Hint: First, recall the last problem in the review problems for Exam 1. Seocnd, given the c.d.f, how to find the p.d.f?)

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