0 ·02.91 points I Prev os Arsen Deomsus 2E08. My Notes Ask Your Teachs Consider
ID: 3047692 • Letter: 0
Question
0 ·02.91 points I Prev os Arsen Deomsus 2E08. My Notes Ask Your Teachs Consider the system of components connected as in the accompanying picture. Components 1 and 2 are connected in paralel, so that subsystem works if and only if ether 1 or 2 works; since 3 and 4 are connected in series, that subsystem works if and and-0.81 fori-3, 4, calculate system works).(Round your answer to four decimal places.) 0 6561 X only if both 3 and 4 work. I, components work independently o, one another and Arcomponent i works)-0.9 tri . 1, 2 Need Help?Explanation / Answer
1 and 2 are connected in parallel.
System works if either 1 or 2 works.
P(1 or 2 works)=P(1 works)+P(2 works)-P(1 and 2 works).
It is given that the components work independently of each other
Hence, P(1 and 2 works)=P(1 works)*P(2 works)
P(1 or 2 works)=0.9+0.9-(0.9*0.9)=0.99
3 and 4 are connected in series. System works if both of them work
It is given that the components work independently of each other
P(3 and 4 are works)=P(3 works)*P(4 works)
P(3 and 4 are works)=0.81*0.81=0.6561
These 2 subsystems are connected in parallel to each other
P(system works)=P(subsystem 1 works)+P(subsystem 2 works)-P(subsystem1 and 2 works)
P(system works)=0.99+0.6561-(0.99*0.6561)=0.9966
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.