What is the expected number of times we assign a value to l

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Reference no: EM131165915

Given an array A of length n (chosen from some set that has an underlying ordering), we can select the largest element of the array by starting out setting L = A(1), and then comparing L to the remaining elements of the array one at a time, replacing L by A(i) if A(i) is larger than L. Assume that the elements of A are randomly chosen. For i > 1, let Xi be1if element i of A is larger than any element of A(1 : i - 1). Let X₁ = 1. Then what does X₁ + X₂+ ··· + X_n have to do with the number of times we assign a value to L? What is the expected number of times we assign a value to L?

Reference no: EM131165915

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