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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 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 U C. AUC= List outcomes in An C. Anc= List outcomes in B U C. BUC= List outcomes in Bn C. Bnc=

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 U C. AUC= List outcomes in An C. Anc= List outcomes in B U C. BUC= List outcomes in Bn C. Bnc=

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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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 Ø for the empty set.) (a) Which outcomes are contained the event A that exactly two of the three components function? A = B = (b) Which outcomes are contained in the event B that at least two of the components function? C = (c) Which outcomes are contained in the event C that the system functions? (d) List outcomes in C'. C' = List outcomes in A U C. AUC= List outcomes in An C. ANC= List outcomes in B U C. 2 BUC= 3 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 Ø for the empty set.) (a) Which outcomes are contained the event A that exactly two of the three components function? A = B = (b) Which outcomes are contained in the event B that at least two of the components function? C = (c) Which outcomes are contained in the event C that the system functions? (d) List outcomes in C'. C' = List outcomes in A U C. AUC= List outcomes in An C. ANC= List outcomes in B U C. 2 BUC= 3 List outcomes in B n C. Bnc =
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