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1) A product is comprised of two components both of which must operate for the system to be functional. The failure probability of each component is 0.15 each. What is the system reliability closest to?
A) 1.80
B) 0.90
C) 0.73
D) 0.80
E) 0.20
2) A system is composed of two parts; both must operate in order for the system to perform as intended. The parts have reliabilities of 0.6 and 0.5. There is an identical backup system connected to the main system by a switch that has a reliability of 0.9. The probability that the overall system will operate is closest to:
A) 0.30
B) 0.40
C) 0.50
D) 0.60
E) 0.70
3) One of the parts on a satellite has three parts, all of which must operate. Two have reliabilities of 0.7 and the other has a reliability of 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
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