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

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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