Question: Consider the aging chain on {0, 1, 2.........} in which for any n ≥ 0 the individual gets one day older from n to n+1 with probability pn but dies and returns to age 0 with probability 1 - pn. Find conditions that guarantee that
(a) 0 is recurrent,
(b) positive recurrent.
(c) Find the stationary distribution.