For the purposes of constructing modified box plots as described in Section 3-4, outliers 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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