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23 September, 11:31

A machine is made of two parts, gizmos and widgets. the probability that a gizmo is defective is 0.20, and the probability that a widget is defective is. 25. if a machine is assembled with one gizmo and one widget, what is the probability that the machine will not have any defective parts?

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  1. 23 September, 11:47
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    Given that the probability that:

    Gizmo is defective is 0.20

    widget is defective is 0.25

    The probability that:

    Gizmo is not defective is 1-0.2=0.8

    Widget is not defective is 1-0.25=0.75

    If the machine is assembled with only one gizmo and one widget, the probability that the will not have any defective part is:

    P (Widget is not defective) * P (Gizmo is not defective)

    =0.8*0.75

    =0.6
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