2. A production process contains a machine that deteriorates rapidly in both quality and output under heavy usage, so that It Is Inspected at the end of each day. Immediately after inspection, the condition of the machine is noted and classified into one of the four possible states: State Condition 0 Good as new 1 Operable-minimum deterioration 2. Operable-major deterioration 3 Inoperable The process can be modeled as a Markov Chain with its (one-step) transition matrix P given by 7 16 8 0 og en 0 Pa ---10-in. 0 --- 0 0 a. (10 points) Determine the expected life of a new machine if it is replaced when it is "Inoperable". b. (10 points) Determine the expected life of a new machine if it is replaced when it is either "Operable-major deterioration" or "Inoperable". C. (10 points) According to the replacement rule in b., what is the percentage of machines that are replaced when they are inoperable