Question: Problem 4: (10 X 4 points) A Zipf random variable has PMF (probability mass function): c E: where c is a constant such that the

Problem 4: (10 X 4 points) A Zipf random variable has PMF (probability mass function): c E: where c is a constant such that the PMF is valid. . What is the value of c? . What is E[X] '? . What is var(X) and standard deviation of X ? . Consider the random variable Y with PMF P(Y : k) : e'2%, k : 0,1,. . .. Is E[X] greater than E [Y]? P(X:k): k:1,2,3,4,5,6

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