Consider the system depicted in Exercise 89. Assume the seven components operate independently with the following probabilities of functioning properly: .9 for components 1 and 2; .8 for each of components 3, 4, 5, 6; and .95 for component 7. Write a program to estimate the reliability of the system (i.e., the probability the system functions properly).

Data From Exercise 89

Refer to the assumptions stated in Exercise  83, and answer the question posed there for the system in the accompanying picture. How would the probability change if this were a subsystem connected in parallel to the subsystem pictured in Figure 2.15a?

Data From Exercise 83

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 works) = .9, calculate P(system works).

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