Suppose that the time between two consecutive events for, Basic Statistics

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Suppose that the time between two consecutive events for

Suppose that the time between two consecutive events for the renewal process {N(t), t ≥ 0} is equal to 1 with probability 1/2 and equal to 2 with probability 1/2.

(a) Give a general formula for the probability P[N{2n) = k], where n and k are positive integers.

(b) Calculate m_N(3).

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