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 0

Number of occurrences 2 5 8 5 20

(a) Develop a generation model for this system including both individual and cumulative state probabilities and frequencies.

(b) Develop a complete margin array containing both individual and cumulative state probabilities and frequencies for this system. Assume that the exposure factor is 0.5 and that the 20 days represents a one-period contribution to an annual study.