1.A system is constructed from two components in series, which are assumed to behave independently. The first component (C1) is Weibull behavior with

= 1.7 and = 22.5 day. When this component fails, the failed unit is replaced by an identical new unit following the Renewal Process. The second component (C2) is minimally repaired with an intensity function

(t) = 0.0006t ^1.4 where t units is days of operation.

The time to repair, by replacement, C1 is Normal with = 2 day, and = 0.5 day. The time to repair C2 is Lognormal with t_med = 4 day, and s = 0.85.

1. Write the expression for and calculate the number of system failures within the first 100 operating days. Begin by calculating the number of component failures within the first 100 days for C1 and for C2. Then write the expression for and calculate the number of system failures with the two independent components in series.

b)Write the expression for MTTR and predict the system MTTR that is expected during a maintenance contract that covers the first 120 days of operation.

c)Write the expression for and predict the system Reliability for t = 10 day.

1. Write the expression for and predict the System Reliability at t = 10 day if Preventive Maintenance for both components at the Renewal level is performed every 5 days.

1. If both units fail, predict the probability that the system will be repaired within 2 days if the component repair times are independent and repairs for both components are performed during the same time. Begin with a logic expression, P(T 2) = P(Normal repair, C1)P(Lognormal repair, C2)

Comment on your result and what you would do, as Maintenance Manager following a System approach for this case.