A company has three independent electric generators. The time until failure for each generator follows an exponential distribution with mean 10. The company will begin using the second generator immediately after the first one fails, and will begin using the third generator immediately after the second one fails. Calculate the probability that the total time that the generators produce electricity is less than 20 hours, given that the total time that the generators produce electricity is at least 10 hours.

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step-by-step explanation:

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