A system consists of two identical pumps, #1 and #2. If one pump fails, the system will still operate. However, because of the added strain, the remaining pump is now more likely to fail than was originally thecase. That is, r = P(#2 fails | #1 fails) > P(#2 fails) = q. If at least one pump fails by the end of the pump design life in 14% of all systems and both pumps fail during that period in only 2%, what is theprobability that pump #1 will fail during the pump design life?

Probability is defined as the total number of favorable cases of an event divided by the total…

Answered: A system consists of two identical…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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 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.…
4. Find the least-squares solution of Az = b for A = N and b = 211
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