please quickly i only have 25 miniutes

For a continuous time Markov process. ifpz-j (it) tends to some non-zero limit as t > 00 for all states j in the state-space. and the limit does not depend on the initial distribution, which of the following are true? Select one or more: [:1 a. The process is not irreducible C] b. An equilibrium distribution does not exist [:1 c. An invariant distribution does not exist C] d. An equilibrium distribution exists Ci at All states are positive recurrent E] f. The process is irreducible C] g. An invariant distribution exists Question 8 In a pure linear birth process where births happen at a rate of A per individual, and the current population size is n > 0, which of the following are true? Select one or more: O a. The expected time we wait until the next birth is (n))-1 O b. The probability that a birth happens in a very small interval of length h is Ah + o(h) O c. The probability that a particular individual gives birth in a very small interval of length h is Ah + o(h) O d. The probability that a birth happens in a very small interval of length his nah + o(h) O e. The expected time we wait until the next birth is 1-1 O f. Births happen at a constant rate (i.e. rate does not depend on population size)