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One of the solar instruments on a satellite has three major parts, all of which

ID: 380868 • Letter: O

Question

One of the solar instruments on a satellite has three major parts, all of which must operate. The reliabilities of the parts are 0.7, 0.7 and 0.9. In case the system fails, there is an identical backup system that kicks on automatically. The overall reliability of the system, including the backup, is closest to:

One of the solar instruments on a satellite has three major parts, all of which must operate. The reliabilities of the parts are 0.7, 0.7 and 0.9. In case the system fails, there is an identical backup system that kicks on automatically. The overall reliability of the system, including the backup, is closest to:

Explanation / Answer

Under this its 7* 7* 9 = .44 the chances of failing is .56 of both the system

.56* .56 = .31.

Given the relability of the parts are 0.7, 0.7 and 0.9.