Let X₁, X₂,..., X₁, be independent, uniformly distributed random variables on the interval [0, b). a) Find the probability distribution function of X(n) = max(X₁, X₂, ..., Xn). Fx (t)= for 0 ≤t≤ b and zero elsewhere I b) Find the probability density function of X(n). fx (t) = c) Find the expected value of X(n) E(X(n)) = for 0 ≤t≤ b and zero elsewhere

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