Consider a Bloom Filter scheme to prevent users from choosing passwords from a dictionary.For this problem, assume that your system can hold a Bloom Filter of length 220 (i.e., 2^20) whileconsidering storage. For this problem, what is the optimal number of hash functions you need to use?Give an approximate number. Roughly speaking, these many hash funcJons will assure you that theFalse Positive Rate of around 1%. Assume number of words in a dictionary is around 100,000. Showyour work.

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Consider a Bloom Filter scheme to prevent users from choosing passwords from a dictionary.
For this problem, assume that your system can hold a Bloom Filter of length 220 (i.e., 2^20) while
considering storage. For this problem, what is the optimal number of hash functions you need to use?
Give an approximate number. Roughly speaking, these many hash funcJons will assure you that the
False Positive Rate of around 1%. Assume number of words in a dictionary is around 100,000. Show
your work.

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