Consider the system of components connected as in the following picture. 1 Compo

Question

Consider the system of components connected as in the following picture. 1 Components 2, 3, and 4 are connected in series, so that their subsystem works only if 2, 3 and 4 all work. The two subsystems are connected in parallel, so the system will work if either subsystem works. The componenis work independenily of one another and the probability that the component works is 0.7 for components 1 and 2 and 0.8 for components 3 and 4. What is the probability that the system works? O 0.8700 O 1.148 O 0.8344 0.7588 O 0.3136

Explanation / Answer

Combine Probability of system of 2,3,4 = 0.7 * 0.8 * 0.8 = 0.448

Probability that system works = 1 - (1-0.448)*(1-0.7)

= 0.8344

Option-C) 0.8344

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