(04.06 HC) 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)