4.99 DELIVERY TIMES FOR ONLINE ORDERS. Refer to the Journal of Marketing Research (October 2019) study of delivery times for online orders, Exercise 2.88 (p. 88). 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 μ = 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 σ = .55. a. For online orders filled by the eastern DC, find P(x ≤ 5). b. For online orders filled by the eastern DC, find P(4 ≤ x ≤ 7). NW 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.

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