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Currently, Ford Motor company experiences an average of 0.75 equipment-related shutdowns per shift and the downtimes are exponentially distributed. In testing, a new maintenance program

Currently, Ford Motor company experiences an average of 0.75 equipment-related shutdowns per shift and the downtimes are exponentially distributed. In testing, a new maintenance program reduced the frequency of equipment-related shutdowns to an average of 0.20 per shift, exponentially distributed. The new maintenance program is expensive, but the company will install it if it can help achieve the target of four consecutive shifts without an equipment-related shutdown. Under the current system, what is the probability that the plant would run four or more consecutive shifts without an equipment-related shutdown?

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