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(Solved): Maximum entropy. \( \quad \) Find the probability mass function \( p(x) \) that maximizes the entr ...



Maximum entropy. \( \quad \) Find the probability mass function \( p(x) \) that maximizes the entropy \( H(X) \) of a nonnega

Maximum entropy. \( \quad \) Find the probability mass function \( p(x) \) that maximizes the entropy \( H(X) \) of a nonnegative integer-valued random variable \( X \) subject to the constraint \[ E[X]=\sum_{n=0}^{\infty} n p(n)=A \]


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Solution:- From given information, we have to find the probability
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