A man with n keys wants to open his door he tries the keys, Basic Statistics

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A man with n keys wants to open his door he tries the keys

A man with n keys wants to open his door. He tries the keys independently and at random. Let N_n be the number of trials required to open the door. Find E[N_n] and Var [N_n] if (i) unsuccessful keys are not eliminated from further selections, (ii) if they are, Assume that exactly one of the keys can open the door.

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Basic Statistics: A man with n keys wants to open his door he tries the keys

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