The army reports that the distribution of waist sizes among female soldiers is approximately normal, with a mean of 28.4 inches and a standard deviation of 1.2 inches.
Part A: A female soldier whose waist is 26.1 inches is at what percentile? Mathematically explain your reasoning and justify your work. (5 points)
Part B: The army uniform supplier regularly stocks uniform pants between sizes 24 and 32. Anyone with a waist circumference outside that interval requires a customized order. Describe what this interval looks like if displayed visually. What percent of female soldiers requires custom uniform pants? Show your work and mathematically justify your reasoning. (5 points) (10 points)
