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?

Question

Mathematics

Madyson Thomas

18 February, 16:45

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?

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Answers (1)

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Heidi · 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