An electrical appliance made by company A has an average life of 2500 hours, with a standard deviation of 500 hours. Another company B makes this appliance with an average life of 2300 hours, and a standard deviation of 800 hours. We take 300 devices from company A and 200 devices from company B. Calculate the probability that the average life of the sample from company A is 100 hours less than the average life of the sample from company B.

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