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Question: please solve the question please do not use solution...

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1243 The channel C is (known as the Z channel) shown in Figure P-1243. 1. Find the input probability distribution that achieves capacity. 2. What is the input distribution and capacity for the special cases ,, and e 0.5? 3. Show that if n such channels are cascaded, the resulting channel will be equiva- lent to a Z channel with e. 4. What is the capacity of the equivalent Z channel when n oo? 0 Figure P-1243

please solve the question . please do not use solution manuel of the book. please write answer step by step .

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