Question: Consider a string of binary data ( 0 and 1 bits) of length n as a binary vector in R n with entries either 0

Consider a string of binary data ( 0 and 1 bits) of length n as a binary vector in R n with entries either 0 or 1.

a) What is the expected, that is average, magnitude of a binary vector with n components?

b) How does your answer depend on n as n ?

c) What is the expected dot product of two binary vectors of length n?

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