Set up both the vector of state probabilities and the matrix of transition probabilities given the following information: Store 1 currently has 40% of the market; store 2 currently has 60% of the market.

In each period, store 1 customers have an 80% chance of returning; 20% of switching to store 2. In each period, store 2 customers have a 90% chance of returning; 10% of switching to store 1.