Question

A company has three machines B1, B2, and B3 making 1KΩ resistors. Resistors within 50 Ω of the nominal value are considered acceptable. It has been observed that 80% of the resistors produced by B1, 90% of the resistors produced by B2, and 60% of the resistors procduced by B3 are acceptable. Each hour, machine B1 produces 3000 resistors, B2 produces 4000 resistors, and B3 produces 3000 resistors. All of the resistors are mixed together at random in one bin and packed for shipment. •

What is the probability that the company ships an acceptable resistor?

• Given an acceptable resistor from the bin, what is the probability that it was produced by B2

Answer 1