Question: Problem 1. Assume that you hash m values into n buckets. (a) What is the average number of items in a bucket? (b) What is

Problem 1. Assume that you hash m values into n buckets.

Problem 1. Assume that you hash m values into n buckets. (a) What is the average number of items in a bucket? (b) What is the variance on the number of items in a bucket? (c) What is the standard deviation on the number of items in a bucket? (d) Use Markov's inequality to bound the probability that a particular bucket has more than 2m items. (e) Use Chebyshev's inequality to bound the probability that a particular bucket has more than 2m items

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