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 AU C. AUC = List outcomes in A n C. An C = List outcomes in BU C. BUC = List outcomes in B n C. BnC=

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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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 AU C.
AUC =
List outcomes in A n C.
An C =
List outcomes in BU C.
BUC =
List outcomes in B n C.
BnC=
Transcribed Image Text: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 AU C. AUC = List outcomes in A n C. An C = List outcomes in BU C. BUC = List outcomes in B n C. BnC=
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