Question: The length of time a device lasts, X, has probability density function f(x) = 2e-2x 0 X>0 otherwise. If the gadget lasts more than

The length of time a device lasts, X, has probability density function

The length of time a device lasts, X, has probability density function f(x) = 2e-2x 0 X>0 otherwise. If the gadget lasts more than three days the profit to the manufacturer is $1.00. If the gadget lasts at most three days the profit to the manufacturer is - $2.00. Let Y represent the profit. Find the distribution of Y.

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