An Internet Service Provider (ISP) offers three plans, High Speed (H), Medium Speed (M) and Low Speed (L). Each customer has the option of changing plan each month, and using past data they have estimated the proportion of customers who change between plans as follows 0.12 of those on H change to M, 0.1 change to L 0.33 of those on M change to H, 0.07 change to L 0.13 of those on L change to H, 0.41 change to M All other customers stay on the same plan (a) Construct a transition matrix A, such that if ck (HkMk,Lk) describes the state at time k then ck+1 Ack