Question: A sugar refinery has three processing plants, all receiving raw sugar in bulk. The amount of sugar in tons that each of the plants can

A sugar refinery has three processing plants, all receiving raw sugar in bulk. The amount of sugar in tons that each of the plants can process in a day has an exponential distribution with mean 4.

(a) Find the probability a given plant processes more than 4 tons in a day.

(b) Find the probability that at least two of the plants process more than 4 tons in a day.

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