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Let Z be the number of trials of Xi Ber(p) when first Xi = 1 occurs. (a) (5 points) Find the distribution of Z. (b)

Let Z be the number of trials of Xi Ber(p) when first Xi = 1 occurs. (a) (5 points) Find the distribution of Z. (b) (5 points) What is the mean and variance of Z (c) (5 points) Plot the entropy function H(z) with respective to p and explain the relationship between H(Z) and parameters p

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