Advanced Placement (AP)

Men's shirt sizes are determined by their neck sizes. Suppose that men's neck sizes are approximately normally distributed with mean 15.7 inches and standard deviation 0.7 inch. A retailer sells men's shirts in sizes S, M, L,
XL, where the shirt sizes are defined in the table below.
Shirt size
Neck size
S
145 neck size < 15
M
15 s neck size < 16
L
165 neck size <17
XL
17 5 neck size < 18
I
(a) Because the retailer only stocks the sizes listed above, what proportion of customers will find that the
retailer does not carry any shirts in their sizes? Show your work.

answer
Answers: 2

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