Question

a) An electrical system consist of four components as illustrated in Figure 1 below. The system works if components A and B work and either of the components C or D works. The reliability of each component is also shown in figure 1. What is the probability that the entire system works? Figure 0.8 0.9 0.9 0.8

step by step procedure

Answer 1

Answer:

Given Data,

An electrical system consist of four components as shown below figure.The system works if components A and B work and either of the components C or D works.

The reliability of each component is given below figure.

0.9

To find the probability that the entire system works:

Probability that the system works=P(A works)$\times$P(B Works)$\times$P(One C and D works)

=0.9$\times$0.9$\times$(1-P(one of C and D works))

= 0.9$\times$0.9$\times$(1-(1-0.8)$\times$(1-0.8))

=0.7776