46. Weightlifting. The Atlas BodyBuilding Company(ABC) sells starter sets of barbells that consist of one bar,two 20-pound weights, and four 5-pound weights. Thebars weigh an average of 10 pounds with a standard deviationof 0.25 pounds. The weights average the specifiedamounts, but the standard deviations are 0.2 pounds forthe 20-pounders and 0.1 pounds for the 5-pounders. Wecan assume that all the weights are normally distributed.a) ABC ships these starter sets to customers in twoboxes: The bar goes in one box and the six weights goin another. Whats the probability that the total weightin that second box exceeds 60.5 pounds? Define yourvariables clearly and state any assumptions you make.b) It costs ABC $0.40 per pound to ship the box containingthe weights. Because its an odd-shaped package,though, shipping the bar costs $0.50 a pound plus a$6.00 surcharge. Find the mean and standard deviationof the companys total cost for shipping a starter set.c) Suppose a customer puts a 20-pound weight at oneend of the bar and the four 5-pound weights at theother end. Although he expects the two ends to weighthe same, they might differ slightly. Whats the probabilitythe difference is more than a quarter of a pound?
46. Weightlifting. The Atlas BodyBuilding Company(ABC)
Problem 46 Chapter 16
Stats: Modeling The World | 3rd Edition
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