Question

Consider the system of components connected as in the accompanying picture. Components 1 and 2 are connected in parallel, so that subsystem works if and only if either 1 or 2 works; since 3 and 4 are connected in series, that subsystem works if and only if both 3 and 4 work. If components work independently of one another and P(component i works) = 0.73 for

i = 1, 2

and = 0.65 for

i = 3, 4,

calculate P(system works). (Round your answer to four decimal places.)

Answer 1

Please let me know if you need any further explanation. Thank you

Pl system work) = Pl Either co work or a work or both and a work) = P(GUSU(Szncu) = P(C:)+PLC2) + DC Can Cu) – - Pleng)-Panczneu)-P(Sncne)+PCGNENGOG) -Ples) +PC92)+PC9).PCC) - P(q). PCC) - P(Ci).P(C3).p(Cu) - P(C2) P(C3) P(Cu) + P(G) PCGJP(43) PCCu) = 0.73+0.73+0.65% 0.732-0.73*0.65-0.73x0.653 +0,73x0,65² = 0.95790025 = 10.9579