Stores A and B, which belong to the same owner, are located in two different towns. If the probability density function of the weekly profit of each store, in thousands of dollars, is given by

and the profit of one store is independent of the other, what is the probability that next week one store makes at least $500 more than the other store?

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f(x)= [x/4 { 0 if 1 < <3 otherwise,