Problem: 4.3A machine is subject to failures of types i = 1; 2; 3 at rates lamda(1)= 1/24, lamda(2) = 1/30, lamda(3) = 1/84. A failure of type i takes an exponential amount of time with rate m(1) = , m(2) = , m(3) = 1/7. Formulate a a Markov chain model with state space { 0 , 1 , 2 , 3 } and find its stationary distribution.