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12 April, 23:48

Computer chips often contain surface imperfections. For a certain type of computer chip, 9% contain no imperfections, 22% contain 1 imperfection, 26% contain 2 imperfections, 20% contain 3 imperfections, 12% contain 4 imperfections, and the remaining 11% contain 5 imperfections. Let X represent the number of imperfections in a randomly chosen chip. Is X discrete or continuous

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  1. 12 April, 23:52
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    The random variable X is a discrete random variable.

    Step-by-step explanation:

    Let X = number of surface imperfections on computer chips.

    The probability distribution of the number of surface imperfections on computer chips is:

    X P (X)

    0 0.09

    1 0.22

    2 0.26

    3 0.20

    4 0.12

    5 0.11

    The random variable X is a discrete random variable.

    This is because a discrete random variable has a finite number of possible values with probability of each value ranging from 0 to 1.
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