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)