4. (10 points) Consider an open address hash table TI0,… , (m – 1)] with linear probing Assume simple uniform hashing and that there are no deletions. Suppose that the slots T’m/2,… , (m-1)] are occupied, and the remaining slots are empty. Also assume m is a multiple of 2 so that m/2 is an integer. (a) (5 points) Find the probability that the slot T’o) will be filled in the next insertion. Explain.
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