Question

A small company has three 3D printers it uses to make gears. Each machine is a different model, so each prints at a different speed and with a different level of accuracy. The MultiMat machine produces 30% of the company's gears, the AccuPrint machine produces 20% of the company's gears, and the SpeedEx machine produces 50% of the company's gears. 2% of the gears made by the MultiMat machine are defective, 1% of the gears made by the AccuPrint machine are defective, and 5% of the gears made by the SpeedEx machine are defective. Express all probabilities as decimals, rounded to four places.

1. If you pick a gear at random from the company's production, what is the probability it is a non-defective gear that is not from the SpeedEx machine?

2. If you find a defective gear from the company, what is the probability it came from the SpeedEx machine?

Answer 1

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