Total unplanned downtime204 Overall Probability2.27% total columns- 9000 What is the probability of 10 or more failures across machines in a month? Should the company implement a preventative maintenance plan? It reduces the probability of a machine having downtime by 95%, and it costs $200 per machine per month.
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Step 1
Given the overall probability of downtime is 2.27% for 9000 machines, we can calculate the expected number of failures (λ) using the formula: \[ \lambda = \text{Total Machines} \times \text{Probability of Failure} \] \[ \lambda = 9000 \times 0.0227 = 204.3 Show more…
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Darshan M.
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? (10 Points)
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