Answer:
The overall reliability of the system is found to be 0.784 or 78.4%.
Step-by-step explanation:
Since, the system has three subsystems in series with following reliabilities:
Reliability of 1st system = R1 = 98% = 0.98
Reliability of 2nd system = R2 = 92% = 0.92
Reliability of 3rd system = R3 = 87% = 0.87
Thus, the overall reliability for series configuration is given by the following formula:
Overall Reliability = (Reliability of 1st system) (Reliability of 2nd System) (Reliability of 3rd System)
Overall Reliability = (0.98)(0.92)(0.87)
Overall Reliability = 0.784
Overall Reliability = 78.4%