A company has two 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. Calculate the variance of the total time that the generators produce electricity. (Hint: The original question is multiple choice with answers 10, 20, 50, 100, and 200, so you should get one of these numbers.]

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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A company has two 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. Calculate the variance of the total time that the generators produce electricity. (Hint:
The original question is multiple choice with answers 10, 20, 50, 100, and 200, so you should get one
of these numbers.]
Transcribed Image Text:A company has two 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. Calculate the variance of the total time that the generators produce electricity. (Hint: The original question is multiple choice with answers 10, 20, 50, 100, and 200, so you should get one of these numbers.]
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