An item is produced by one of three machines, A, B, or C. Machine A produces 50% of the items, B produces 30%, and C produces 20%. The defect rates are 1% for A, 2% for B, and 3% for C. If an item is chosen at random, what is the probability that it is defective?
Show answer & explanation
Correct answer: B
Explanation
Total probability of being defective = (0.50 × 0.01) + (0.30 × 0.02) + (0.20 × 0.03)
= 0.005 + 0.006 + 0.006= 0.017