Question

The navy reports that the distribution of waist sizes among male sailors is approximately normal, with a mean of 32.6 inches and a standard deviation of 1.3 inches.

Part A: A male sailor whose waist is 34.1 inches is at what percentile? Mathematically explain your reasoning and justify your work mathematically.\

Part B: The navy uniform supplier regularly stocks uniform pants between sizes 30 and 36. Anyone with a waist circumference outside that interval requires a customized order. Describe what this interval looks like if displayed visually. What percent of male sailors requires custom uniform pants? Show your work and mathematically justify your reasoning.

Answer 1