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30 August, 00:20

For the purposes of constructing modified boxplots, outliers are defined as data values that are above Q3 by an amount greater than 1.5*IQR or below Q1 by an amount greater than 1.5*IQR , where IQR is the interquartile range. Using this definition of outliers, find the probability that when a value is randomly selected from a normal distribution, it is an outlier.

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  1. 30 August, 02:43
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    0.0602

    Step-by-step explanation:

    Given that a value is randomly selected from a normal distribution at random.

    To find the probability that the value is an outlier

    Z score (std) for Q1 = 0.675 and Q3 = =0.675

    IQR = 1.250

    1.5xIQR = 1.875

    P (outlier) = P (Z1.875)

    =2 (0.5-0.4699)

    = 0.0602
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