A machine is used to produce precision tools. If the machine is in good condition today, then 90% of the time, it will be good condition tomorrow. If the machine is in bad condition today, then 80%of the time, it will be in bad condition tomorrow. If the machine is in good condition, it produces 100 tools per day.
1. Describe this problem by using a Markov chain and explain why it is a Markov chain?
2. If the machine is in bad condition, it produces 60 tools per day. On the average, how many tools per day are produced?