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The weekly amount of downtime Y (in hours) for an industrial machine has approximately a gamma distribution with alpha = 3 and beta = 2.
The weekly amount of downtime Y (in hours) for an industrial machine has approximately a gamma distribution with alpha = 3 and beta = 2. The loss L (in dollars) to the industrial operation as a result of this downtime is given by L = 30Y + 2(Y^2). Find the expected value and variance of L. Please show all work and all steps.
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