SOLUTION: A factory produces its entire output with three machines. Machines I, II, and III produce 50%, 30%, and 20% of the output, but 4%, 2%, and 4% of their outputs are defective, respec

Algebra ->  Probability-and-statistics -> SOLUTION: A factory produces its entire output with three machines. Machines I, II, and III produce 50%, 30%, and 20% of the output, but 4%, 2%, and 4% of their outputs are defective, respec      Log On


   



Question 439036: A factory produces its entire output with three machines. Machines I, II, and III produce 50%, 30%, and 20% of the output, but 4%, 2%, and 4% of their outputs are defective, respectively. What fraction of the total output is defective?
Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
(.50x.04)+(.30x.02)+(.20x.04)=Defectives
.02+.006+.008=.034=3.4% Defective.