In a compressed data file of 10000 bytes each byte is, Basic Statistics

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In a compressed data file of 10000 bytes each byte is

In a compressed data file of 10,000 bytes, each byte is equally likely to be any one of 256 possible characters b₀,..., b₂₅₅ independent of any other byte. If Ni is the number of times bi appears in the file, find the joint PMF of N₀,..., N₂₅₅. Also, what is the joint PMF of N₀ and N₁?

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Basic Statistics: In a compressed data file of 10000 bytes each byte is

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