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
s
m
l
xl
neck size
14 < neck size < 15
15 < neck size < 16
16 < neck size < 17
17 < neck size < 18
(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.