Mike's buying pattern of cola can be modeled by the Markov Chains. Mike buys two types of cola, Coke or Pepsi. If his last purchase of cola is Coke, there is 80% of chance that his next cola purchase is also Coke. If his last purchase of cola is Pepsi, there is 65% of chance that his next cola purchase is also Pepsi. a. What is the matrix of transition probabilities? b. Graph the Markovian state transition diagram.