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The length of time, in minutes, for an airplane to obtain clearance for takeoff at a certain airport is a random variable Y =

The length of time, in minutes, for an airplane to obtain clearance for takeoff at a certain airport is a random variable Y = 2X-3, where X has the following density function. Find the mean and variance of the random variable Y. 1 x>0 f(x) = < 5 0, The mean of Y is (Type an integer or a fraction.)

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