Three components are connected to form a system as shown in the accompanying dia

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.

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 in set notation. Enter EMPTY or for the empty set.)

Explanation / Answer

Sample space = {SSF, SFS, SSS} , where SSF represents, first component is success, second component is success and third component is failure.

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