. Recall that a major apparel retailer has two distribution centers (DCs) to fulfill all its online orders - one located in the eastern United States and one in the western United States. Based on the study, we can assume that the delivery time x (in business days) for online orders fulfilled by the eastern DC is normally distributed with mean =5.22 and standard deviation =.77. Similarly, assume that the delivery time x for online orders fulfilled by the western DC is normally distributed with mean =6.95 and standard deviation =.55.

a. For online orders filled by the eastern DC, find P(x5).

b. For online orders filled by the eastern DC, find P(4x7).

c. For online orders filled by the eastern DC, find the value a, so that P(x>a)=.30.

d. Repeat parts a-c for online orders filled by the western DC.