Consider a B-D process with Poisson birth and exponential death distribu-tions, where death occurs singly. Denote the birth and death rates as and ,

Consider a B-D process with Poisson birth and exponential death distribu-tions, where death occurs singly. Denote the birth and death rates as λ and μ, respectively, given as:

Let Ek denote the state of the system; that is, population at any time is k. Find the i. Stationary probability vector, ii. Stationary probability that population is 2, iii. Stationary probability that there are no one in the system.

a. S=10, =11. b. [ = 30, =50. S = 2, C. |= 8.