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28 March, 08:19

A company produces widgets in three factories, A, B and C. Factory A produces 20% of the widgets, factory B produces 45% of the widgets and factory C produces the remaining 35%. Of all widgets produced, 5% fail tolerance. Of those that fail tolerance, 25% were produced in factory A, 35% were produced in factory B and 40% were produced in factory C.

In factory A, what percentage of the widgets produced fails tolerance?

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  1. 28 March, 08:39
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    1.25% widgets from factory A fail.

    Step-by-step explanation:

    Probability of widgets that fail = 0.05

    Probability of failing widget to belong from factory A = 0.25

    Probability of failing widget to belong from factory B = 0.35

    Probability of failing widget to belong from factory C = 0.40

    Probability of factory A widgets failing = Probability of widgets failing * probability they belonged from factory A

    Probability of factory A widgets failing = 0.05 * 0.25 = 0.0125

    This probability stated as percentage: 1.25%
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