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The total cost required for a company to produce a product is equal to the sum of the design cost and the manufacturing cost. These

The total cost required for a company to produce a product is equal to the sum of the design cost and the manufacturing cost. These costs are random and statistically independent. The design cost is uniformly distributed from $3,000 to $6,000, and the manufacturing cost is uniformly distributed from $3,000 to $12,000. Determine the probability that the total cost will be less than $9,000

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