Three components are connected to form a system as shown in the accompanying diagram. Because the c

Question

Three components are connected to form a system as shown in the accompanying diagram. Because the components in the 2�3 subsystem are connected in parallel, that subsystem will function if at least one of the two individual components functions. For the entire system to function, component 1 must function and so must the 2�3 subsystem.

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The experiment consists of determining the condition of each component [S (success) for a functioning component and F (failure) for a nonfunctioning component]. (Enter your answers as a comma-separated list. Enter ? for the empty set.)

(a) Which outcomes are contained in the event A that exactly two of the three components function?
A =



(b) Which outcomes are contained in the event B that at least two of the components function?
B =


(c) Which outcomes are contained in the event C that the system functions?
C =




(d) List outcomes in C'.
C' =



List outcomes in A ? C.
A ? C =



List outcomes in A ? C.
A ? C =



List outcomes in B ? C.
B ? C =



List outcomes in B ? C.
B ? C =

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