An army quartermaster is interested in making sure he has enough
helmets for soldiers at a certain base. Assume that the distribution of head
circumference of soldiers is normal with a mean of 58 cm and a SD of 1.5 cm.
Helmets come in sizes S, M, ML, L, XL and XXL. The following size chart
(Rowlett, 2000; http://www.unc.edu/~rowlett/units/scales/hatsizes.html) will
a. What is the probability that a randomly chosen soldier will need an XL
b. The quartermaster is assigned to a base that has 1,000 soldiers, and the
quartermaster is ordering new helmets for all of the soldiers. How many size
XL helmets does the quartermaster need to order to ensure that the
probability of running out is less than 5%?
This question was answered on: Sep 21, 2023
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