Consider a birth and death process with birth rates = (i + 1)2, i0, and death rates

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Consider a birth and death process with birth rates = (i + 1)2, i0, and death rates ;= iu, i 0.

(a) Determine the expected time to go from state 0 to state 4.

(b) Determine the expected time to go from state 2 to state 5.

(c) Determine the variances in parts

(a) and (b).

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