*15. An automatic machine produces a (thousands of) units of a product per day. As a increases,...

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*15. An automatic machine produces a (thousands of) units of a product per day. As a increases, the proportion of defectives,p, goes up according to the following probability density function Each defective item incurs a loss of $50. A good item yields $5 profit.

(a) Develop a decision tree for this problem.

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