Let X be the amount of premium gasoline (in 1000 gallons) that a service station has in its tanks at the beginning of a day, and Y the amount that the service station sells during that day. If the joint density of X and Y is given byf (x, y) = 1/200, for 0

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Let X be the amount of premium gasoline (in 1000 gallons) that a service station has in its tanks at the beginning of a day, and Y the amount that the service station sells during that day. If the joint density of X and Y is given byf (x, y) = 1/200, for 0 <y <x <20, use the distribution function techniques to find the probability density of the amount that the service station has left in its tanks at the end of the day

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