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3 December, 14:52

An appliance manufacturer has three factories (A, B, and C) where they produce both Customized and Non-Customized appliances. The weekly production totals are presented below: A B C Customized 4 3 11 Non-Customized 12 7 17 If one manufactured appliance is chosen at random, find the probability that the appliance is a non-customized model given that it was manufactured at Factory 'A'.

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  1. 3 December, 15:01
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    75%

    Step-by-step explanation:

    We have the following table:

    A B C

    Customized 4 3 11

    Non-Customized 12 7 17

    If we ask the probability that the appliance is a Non-Customized model given that it was manufactured in Factory 'A'.

    First we must calculate the total of the factory 'A', that is, Customized plus Non-Customized:

    4 + 12 = 16

    And the amount of Non-Customized in A is 12

    Therefore the probability is:

    12/16 = 0.75

    There is a 75% chance that the event will occur.
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