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Q 2 . Consider the Bloom filter. Define k = number of hash functions; N = number of bits in hash table; and D =
Q Consider the Bloom filter. Define number of hash functions; number of bits in hash table; and number of words in dictionary. a Show that the expected number of bits in the hash table that are equal to zero is expressed as
b Show that the probability that an input word, not in the dictionary, will be falsely accepted as being in the dictionary is
c Show that the preceding expression can be approximated by
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