A system contains five 40 MW generating units with the following parameters: Failure rate = 0.01 failures/day Repair rate = 0.49 repairs/day This system serves a load which on a specified 20-day period has the following model: Peak load level (MW) 160 100 80 60 Number of occurrences 2 5 8 5 20 (a) Develop a generation model for this system including both individual and cumu- lative state probabilities and frequencies.