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(defn verify [rand n & [delta]]
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(let [rands (frequencies (repeatedly n rand))
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avg (/ (reduce + (map val rands)) (count rands))
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max-delta (* avg (or delta 1/10))
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acceptable? #(<= (- avg max-delta) % (+ avg max-delta))]
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(for [[num count] (sort rands)]
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[num count (acceptable? count)])))
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(doseq [n [100 1000 10000]
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[num count okay?] (verify #(rand-int 7) n)]
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(println "Saw" num count "times:"
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(if okay? "that's" " not") "acceptable"))
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