6- Let X be the amount of premium gasoline (in 1,000 gallons) that a service station...

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6- Let X be the amount of premium gasoline (in 1,000 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 by f(x, y) = 1 200 for 0 < y < x < 20 elsewhere, use the cumulative distribution function technique to find the probability density function of the amount that the service station has left in its tanks at the end of the day. 6- Let X be the amount of premium gasoline (in 1,000 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 by f(x, y) = 1 200 for 0 < y < x < 20 elsewhere, use the cumulative distribution function technique to find the probability density function of the amount that the service station has left in its tanks at the end of the day.