Three companies A, B and C supply 25%, 35% and 40% of the notebooks to a school. Past experience shows that 5%, 4% and 2% of the notebooks produced by these companies are defective. If a notebook was found to be defective, what is the probability that the notebook was supplied by A
Answer:
Step-by-step explanation:
→ Company A supply = 25% of the notebooks .
→ Defective notebooks = 5% of 25% = (5 * 25)/100 = 1.25% .
similarly,
→ Company B supply = 35% of the notebooks .
→ Defective notebooks = 4% of 35% = (4 * 35)/100 = 1.4% .
and,
→ Company C supply = 40% of the notebooks .
→ Defective notebooks = 2% of 40% = (2 * 40)/100 = 0.8% .
then,
→ Total notebooks supplied by three companies = 25% + 35% + 40% = 100% .
and,
→ Total defective notebooks = 1.25% + 1.4% + 0.8% = 3.45% .
therefore,
→ Required probability = 3.45 / 100 = (345/10000) = (69/2000) (Ans.)