# Question

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

Use the distribution function technique to find the probability density of the amount that the service station has left in its tanks at the end of the day.

Use the distribution function technique 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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