Chapter4 Supp Prob 1 Chapter 4 Supplment Problem 1 Probability that both components will function. ile. the system will function (Use Rule 1). la. XXX = b. Probability that Backup for Component 1 & Switch both will function (Use Rule 1): XXX= Probability that Backup for Component 2 & Switch both will function (Use Rule 1): XxX- Probability that ConRule 2): X-[(1-X) xX= Probability that Component 2 or (Backup for Component 2 & Switch) will function (Use Rule 2): X [(1-X) x X]= Probability that both components will function, ie. the system will work (Use Rule 1) XXX= Probability that Backup for Component 1 & Switch both will function (Use Rule 1): XxX- Probability that Backup for Component 2 & Switch both will function (Use Rule 1) XxX- Probability that ConRule 2) X [(1-X x X] Probability that ConRule 2): X-[(1-X x X]- X-X - Probability that both components will function, Le., the system will function (Use Rule 1)