solve to completion

7. (12 points) Consider a birth and death process with birth rate i + 1 and death rate i when there are i individuals. (a) Starting at state 2, find the expected time until the process first leaves state 2. (b) Find the expected time to go from state 2 to state 4.7. (12 points) Consider a birth and death process with birth rate i + 1 and death rate i when there are i individuals. (a) Starting at state 2, find the expected time until the process first leaves state 2. (b) Find the expected time to go from state 2 to state 4.\fConsider the system 20 - 1+1=-1 2r1 + 2x2 + 2ry = 4 -II - 12 + 213 = -5 By finding the spectral radius of the Jacobi and Gauss Seidel iteration matrices prove that the Jacobi method diverges while Gauss-Seidel's method converges for this system