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12 February, 00:47

For a particular diamond mine, 78% of the diamonds fail to qualify as "gemstone grade". A random sample of 106 diamonds is analyzed. Find the mean μ.

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  1. 12 February, 01:44
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    Mean of the binomial distribution μ = 82.68

    Step-by-step explanation:

    Explanation:-

    Given sample size 'n' = 106 diamonds

    The probability that the diamonds fail to qualify as "gemstone grade

    p = 78% = 0.78

    We will use binomial distribution

    Mean of the binomial distribution

    μ = n p

    μ = 106 * 0.78

    μ = 82.68

    conclusion:-

    Mean of the binomial distribution μ = 82.68
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