1. Assume that adults have IQ scores that are normally distributed with a mean of 97.7 and a standard deviation 22.7 Find the first quartile Q1, which is the IQ score separating the bottom 25% from the top 75% (Hint; Draw a graph) The first quartile is 2. For the purposes of constructing modified boxplots, outliners are defined as data values that are above Q3 by an amount greater than 1.5 x IQR or below Q1 by an amount greater than 1.5x IQR, where IQR is the interquartile range. Using this definition of outliners, find the probability that when a value is randomly selected from a normal distribution, it is an outlier.

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