Question: A particular system in a space vehicle must work properly in order for the space vehicle to re - enter the Earth's atmosphere. One particular

A particular system in a space vehicle must work properly in order for the space vehicle to re

-

enter the Earth's atmosphere. One particular component of the system operates successfully only

85 %

of the time. To increase the reliability of the system, four identical versions of the components will be installed in such a way that the system will operate successfully if at least one component is working successfully. Assume that the four components operate independently:What is the probability that the system will fail?

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