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Suppose a computer system is assembled out of 100 components, and these are completely assembled before the power is ever applied. Assume that the computer fails to work properly if any component fails a) the rate of defects or each component of the system is only 0 22%, what is the probability that the assembled computer works when switched on, assuming the components are independent? b) For the probability that the system works to be 99% what is the largest allowable defect rate for the components? Assume independence (c) Use Booles inequality to estimate the probability that the system described in part a works. Why does Booles inequality work so well in this situation? (a) The probability that the system works is about Round to three decimal places as needed.) (b) The largest allowable defect rate for the components is about Round to two decimal places as needed.) %. (c) P(system works) system worko)(Round to w ▼ (Round to two decimal places as needed.) Why does Booles inequality work so well in this situation? O A. Since the probability of the system working is so small, the estimate is very close. O B. Since component failures are independent, there is no overlap of the probabilities. O C. Since component failures are disjoint, there is no overlap of the probabilities O D. Since the probability that a component fails is small, the probability in each intersection is also small.

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