Final answer:
The overall reliability of the series-connected mechanical system with subsystem reliabilities of 95%, 96%, and 87% is 79.104%.
Step-by-step explanation:
The overall reliability of a mechanical system comprising three subsystems in series is calculated by multiplying the reliabilities of the individual subsystems. The overall reliability of the series-connected mechanical system with subsystem reliabilities of 95%, 96%, and 87% is 79.104%.
Given the reliabilities of 95%, 96%, and 87%, the overall reliability R is R = 0.95 × 0.96 × 0.87. Therefore, the overall reliability of the system is R = 0.79104 or 79.104%.
To calculate the overall reliability of a system with subsystems in series, we multiply the reliabilities of each subsystem. In this case, the overall reliability would be 0.95 * 0.96 * 0.87 = 0.7986 or 79.86%.