A system has two generators, G1 and GZ, of capacity 80 W and 50 MW respectively. Gland G2 have failure rates of Olfday and 0.012fday respectively, and mean repair times of 8 days and 6 days respectively. Use sequential Monte Carlo simulation to estimate the following. (a) Assuming failures and repairs to be independent, find the mean time to first overlapping failure of the two generators, starting from the state where both generators are up. (13) Find the steady state probability and frequency of encountering the state corresponding to the overlapping failure of the two generators. Please write a program for Problem 3 and submit the code with your HW solution