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=

We know that components 2 and 3 are in parallel, which means that in order for subsystem 2-3 to…

Answered: Three components are connected to form…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 16EQ

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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. 2 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 = x (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. An C= List outcomes in Bu C. BUC= List outcomes in B n C.. BAC…
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. 2 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 in the event A that exactly two of the three components function? А — (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 A n C. A n C = List outcomes in Bu C. BuC = List outcomes in B n C.…
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