6. Consider a birth and death process with birth rates i = (i + 1), i ...

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6. Consider a birth and death process with birth rates λi = (i + 1)λ, i  0, and death rates μi = iμ, 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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