Let Y1 denote the weight (in tons) of a bulk item stocked by a supplier at the beginning

Chapter 5, Problem 5.38

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Let Y1 denote the weight (in tons) of a bulk item stocked by a supplier at the beginning of a week and suppose that Y1 has a uniform distribution over the interval 0 y1 1. Let Y2 denote the amount (by weight) of this item sold by the supplier during the week and suppose that Y2 has a uniform distribution over the interval 0 y2 y1, where y1 is a specific value of Y1. a Find the joint density function for Y1 and Y2. b If the supplier stocks a half-ton of the item, what is the probability that she sells more than a quarter-ton? c If it is known that the supplier sold a quarter-ton of the item, what is the probability that she had stocked more than a half-ton?

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