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A system contains two components, A and B. The system will
Chapter 2, Problem 17E(choose chapter or problem)
A system contains two components, A and B. The system will function only if both components function. The probability that A functions is 0.98, the probability that B functions is 0.95, and the probability that either A or B functions is 0.99. What is the probability that the system functions?
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QUESTION:
A system contains two components, A and B. The system will function only if both components function. The probability that A functions is 0.98, the probability that B functions is 0.95, and the probability that either A or B functions is 0.99. What is the probability that the system functions?
ANSWER:
Step 1 of 2:
It is given that A and B are the two components of a system. The system works only if the two components work.
The probability that the component A works is 0.98,that is P(A)=0.98.Probability that component B works is 0.95,that is P(B)=0.95.
Probability that either component A or component B works is 0.99,that is P(AB)=0.99.