Prоblem 3 A mаnufаctured pаrt starts in Step 1 оf a prоduction line. Its movement is modeled by a Markov chain with states The transition probabilities are: from Step 1: return to Step 1 with probability 0.2, move to Step 2 with probability 0.6, get scrapped with probability 0.2; from Step 2: move to Step 1 with probability 0.1, remain in Step 2 with probability 0.2, get sold with probability 0.6, get scrapped with probability 0.1; states 3 and 4 are absorbing. Write the transition matrix. Starting from Step 1, compute the probability that the part is sold before it is scrapped.