In a single day, ChipyTech Corporation's manufacturing facility produces 10,000 microchips. Suppose machines A, B, and C individually produce 3000, 2500, and 4500 chips daily. The quality control group has determined the output from machine A has yielded 35 defective chips, the output from machine B has yielded 26 defective chips, and the output from machine C has yielded 47 defective chips. a. If a chip was selected at random from the daily output, what is the probability it is defective?

b. What is the probability a randomly selected chip was produced by machine A? By machine B? By machine C?

c. Suppose a chip was randomly selected from the day's production of 10,000 microchips and it was found to be defective. What is the probability it was produced by machine A? By machine B? By machine C?