Probability Trees are closely related to decision trees, which are used in finance and other fields in business. A survey states that 65% of a product is manufactured by Cilico and AUM manufactures 35%. 8 % of the products from Cilico are defective. 12% of the products from AUM are defective. a. Produce a tree diagram to represent this information. ii. A person purchases a new product. What is the probability that the product was from Cilico? What is the probability that the product was from AUM? b. The product is tested for defects. What is the probability that a defective product was from Cilico? What is the probability that a defective product was from AUM? What is the probability that a product is defective in general?
A survey states that 65% of a product is manufactured by Cilico and AUM manufactures 35%. 8 % of the products from Cilico are defective. 12% of the products from AUM are defective.
a. Produce a tree diagram to represent this information.
ii. A person purchases a new product.
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What is the probability that the product was from Cilico?
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What is the probability that the product was from AUM?
b. The product is tested for defects.
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What is the probability that a defective product was from Cilico?
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What is the probability that a defective product was from AUM?
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What is the probability that a product is defective in general?
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