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13. (5 marks) In order for a device to run, two batteries must both be functional. Let X be the lifetime of battery 1, and Y be the lifetime of battery 2, both measured in days. Suppose the joint density of X and Y is given as 0 otherwise If you just turned on the device with these new batteries, what is the expected life of the machine? That is, what the expected time to wait until the first battery fails?
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