Question: A particular electronic device will only function correctly if two essential components both functions correctly. The lifetime of the first component is known to be

A particular electronic device will only function correctly if two essential components both functions correctly. The lifetime of the first component is known to be exponentially distributed with a mean of 6000 hours and the lifetime of the second component is known to be exponentially distributed with a mean of 7000 hours. Find the proportion of devices that may be expected to fail before 8000 hours use. State clearly any assumptions you make.

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