Suppose that there are two internet providers, Provider 1 and Provider 2. Data show that every year, 40% of all Provider 1 users switch to Provider 2 while the rest stick with Provider 1; and 25% of all Provider 2 users switch to Provider 1 while the rest stick with Provider 2. Suppose that 60% of consumers currently use Provider 1 and 40% use Provider 2.

a) Write down the transition matrix for the Markov system. No justification necessary

b) Find the distribution of internet users two years from now. Show your work please step by step.

c) Find the steady-state distribution vector for the system. Show your work please step by step.