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13 June, 23:49

Consider a manufacturing process with a quality inspection station. In the past, 10% of parts are defective. As soon as one defective part is found, the process is stopped. If 6 parts have been inspected without finding a defective part, what is the probability that at least 9 total parts will be inspected before the process is stopped

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  1. 14 June, 00:50
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    0.9

    Step-by-step explanation:

    10% is equal to 0.1

    The probability of having defective parts in a pile of parts is 0.1

    Before the process is stopped, 1 part has to be defective.

    In a pile of 9 parts, the probability that a part is defective 0.1 of 9, which is = 0.9 hence, approximately one (1) part will be defective in a pile of 9 parts and the process will be stopped.

    Since there was no defective part among the first 6 parts, P (d) was 0

    That is, probability of a defective part was zero.
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