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  • Perplex
    IB Math AASL
    /
    Distributions & Random Variables
    /

    Problem Bank

    [Maximum mark: 8]

    The masses, in grams, of chocolate bars produced by a factory can be modelled by a normal distribution with mean ​100g​ and standard deviation ​0.6g. A chocolate bar can only be packaged if its mass is greater than ​99g, otherwise is it melted back into the production line.

    1. Find the probability that a randomly selected chocolate bar is packaged.

      [2]

      To earn a crown, get your answer ready before you reveal the options!

    On a given day, the number of chocolate bars packaged is ​5000.

    1. Estimate, to the nearest 10, the number of chocolate bars that are melted back that day.

      [3]
    2. Given that a bar has a mass of less than ​101g, find the probability it will be melted down.

      [3]

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