(Solution Library) The joint density function for Y 1 , the weight in tons of a bulk item stocked by a supplier, and Y 2 , the weight of the item sold by the supplier,


Question: The joint density function for Y 1 , the weight in tons of a bulk item stocked by a supplier, and Y 2 , the weight of the item sold by the supplier, has joint density

f(y 1 ,y 2 )= 1/y 1 , 0 ≤ y 2 ≤ y 1 ≤ 1,

0, elsewhere

In this case, the random variable Y 1 –Y 2 measures the amount of stock remaining at the end of the week, a quantity of great importance to the supplier. Find E(Y 1 –Y 2 ).

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