申論題

五、(10%) A sugar refinery has three processing plants, all receiving raw sugar in bulk. The amount of sugar that one plant can process in one day can be modeled as having an exponential distribution with a mean of 4 tons for each of the three plants. Given that the plants operate independently.

(2) For a particular plant, how much raw sugar should be stocked for that plant each day so that the chance of running out of product is only 0.05? (5%)