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 n

By Mary

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

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  1. 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.)

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