Normally Distributed Observations Such as a Person's Weight, Height, or Shoe

Multiple Choice

Normally distributed observations such as a person's weight, height, or shoe size occur quite frequently in nature. Business people who are aware of this use it to their advantage. A purchasing agent for a large retailer buying 15,000 pairs of women's shoes used the normal curve to decide on the order quantities for the various sizes. If women's average shoe size is 7.5 with a standard deviation of 1.5, how many pairs should be ordered between sizes 6.5 and 9?

A) 8640
B) 8849
C) 8664
D) 8864
E) 8940