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Question

For random variables X₁,..., X_n in Problem 5.1.3, let X = [X₁ ··· X_n]. What is f_X(x)?

Problem 5.1.3

The random variables X₁,..., X_n have the joint PDF.

(a) What is the joint CDF, FX₁,...,X_n (x₁,..., x_n)?

(b) For n = 3, what is the probability that mini X_i ≤ 3/4?