Answered: 1 3 (a) Which outcomes are contained…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.2: Arithmetic Sequences

Problem 53E

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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.)

There us a graph shown in the pictures. Questions are posted on the pictures too.

(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?
В —
(c) Which outcomes are contained in the event C that the system functions?
С —
(d) List outcomes in C'
С %3
List outcomes in A U C.
AUC =
List outcomes in A n C.
An C
List outcomes in B U C.
BUC =
List outcomes in B n C
ВпС%3

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