Math  /  Data & Statistics

Question16. A pen manufacturer gets its pen cartridges from 2 suppliers. 58%58 \% of the cartridges come from supplier A and 2.25%2.25 \% of them are defective. 42%42 \% of the cartridges come from supplier B and 1.75%1.75 \% of them are defective. Answer the following questions: (a) Draw a tree diagram representing the problem. (b) Find the probability that a cartridge is defective and from supplier A. (c) Find the probability that a randomly chosen cartridge is not defective.

Studdy Solution
(a) The tree diagram was constructed in the steps above. (b) The probability that a cartridge is defective and from supplier A is 0.013050.01305 or 1.305%1.305\%. (c) The probability that a randomly chosen cartridge is not defective is 0.98020.9802 or 98.02%98.02\%.

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