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[2.5] A system functions as long as both subsystems A and B are functioning. Subsystem A is
composed of two components A 1 and A 2 and functions as long as either functions. Subsystem
B is composed of two components B 1 and B 2 and functions as long as either functions.
Subsystems A and B are independent. Components A 1 and A 2 are mutually exclusive.
Components B 1 and B 2 are independent. If the probabilities that the components are
functioning are: Find the probability that the system is functioning.

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  • 1. [2.5] A system functions as long as both subsystems A and B are functioning. Subsystem A is composed of two components A 1 and A 2 and functions as long as either functions. Subsystem B is composed of two components B 1 and B 2 and functions as long as either functions. Subsystems A and B are independent. Components A 1 and A 2 are mutually exclusive. Components B 1 and B 2 are independent. If the probabilities that the components are functioning are: Find the probability that the system is functioning.