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15 November, 07:37

A product is composed of four parts. In order for the product to function properly in a given situation, each of the parts must function. Two of the parts have a. 96 probability of functioning, and two have a probability of. 99. What is the overall probability that the product will function properly

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  1. 15 November, 07:39
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    P (working product) =.99*.99*.96*.96 =.0.903

    Step-by-step explanation:

    For the product to work, all four probabilities must come to pass, so that

    P (Part-1) * P (Part-2) * P (Part-3) * P (Part-4)

    where

    P (Part-1) = 0.96

    P (Part-2) = 0.96

    P (Part-3) = 0.99

    P (Part-4) = 0.99

    As all parts are independent, so the formula is P (A∩B) = P (A) * P (B)

    P (Working Product) = P (Part-1) * P (Part-2) * P (Part-3) * P (Part-4)

    P (Working Product) = 0.96*0.96*0.96*0.99*0.99

    P (Working Product) = 0.903
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