Question

A system contains two components, a and

b. the system will function if either a or b functions. the probability that a functions is 0.92, the probability that b is 0.93, while the probability that both function is 0.90. are the two components independent? what is the probability that the system functions?

Answer 1

The system does not function when both do not.
The probability that both (i.e. system) do not function is
P(Failure)=(1-0.92)(1-0.93)=0.0056
Therefore the probability that the system functions
P(success)=1-P(failure) = 1-0.0056 = 0.9944