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Python Programming

permutations of the array A = < 1, 2, 3, 4, 5, 6, 7, 8 > and computes the number of \"hires\", H1, H2, ... as described in the lecture.

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Python generates all 8!

permutations of the array A = < 1, 2, 3, 4, 5, 6, 7, 8 > and computes the number of "hires", H1, H2, ... as described in the lecture.

Hire-Assistant(n) 1 best = 0 // fictional least qualified candidate 2 for i = 1 to n 3 interview candidate i // paying cost ci 4 if candidate i is better than candidate best 5 best = i 6 hire candidate i // paying cost ch Then compute the theoretical expected value as EH = 1/8!(H1 + H2 + ... + H8!) and the theoretical variance as Var(H) = E(H^2) - (EH)^2 = 1/8!(H1^2 + H2^2 + ... + H81^2) - (EH)^2.

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