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6 September, 19:01

Approximately 10% of the glass bottles coming off a production line have serious flaws in the glass. if two bottles are randomly selected, find the mean and variance of the number of bottles that have serious flaws.

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  1. 6 September, 22:26
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    Number of glass bottles = n = 2

    Probability of flawed glass bottle = p = 10% = 0.10

    q = 1 - p = 0.9

    Mean = np = 2 x 0.10 = 0.2

    Variance = npq = 2 x 0.1 x 0.9 = 0.18
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