Question: Please show calculate long-term average availability and long-term operational availability . The time T until the system breaks down follows a Weibull distribution with scale

Please show calculate long-term average availability and long-term operational availability .

The time T until the system breaks down follows a Weibull distribution with scale param 0.05 and shape param 2. In case of failure, it is assumed that repairs are made, and the repair time follows the exponential distribution with an average of 5 hours, and it is assumed that the repair will be in the same condition as the new one. a) Calculate the long-term average availability of the system. b) Preventive maintenance, which takes 2 hours, is performed every 200 hours. Calculate the long-term operational availability of the system when the system is said to be in the same condition as the new one after preventive maintenance.

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