(Solved): answer in set notation Three components are connected to form a system as shown in the accompanying ...

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.) (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 $B?C$. $B?C=$