For the purposes of constructing modified boxplots as described in Section 3-3, 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.

Data From Section 3-3:

Use the Verizon airport data speeds in Data Set 32 “Airport Data Speeds” in Appendix B to construct a modified boxplot.

Data Set 32: Airport Data Speeds

Data are from 50 airports (first five rows shown here) consisting of data speeds (Mbps) from four different cell phone carriers. Based on data from CNN.