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The weights of bags of potting soil, X, lled by a distributor of garden products have an expected value of 20 pounds and a standard deviation of 1.6 pounds. The weight of any bag is independent of the weight of any other bag. The shipping department secures 16 bags to a pallet and sends them to retail outlets. Section 10.5 IID Random Variables [ Objective: Find the mean and variance of a weighted sum of possible dependent random variables, such as those used to model the performance of a portfolio] [ Objective: Link iid random variables to simple data suitable for summarizing with a histogram. ] 1. Determine the standard deviation of the total weight of the potting soil on a pallet. (a) 6.4 lbs. (b) 25.6 lbs. (c) 1.6 lbs. ((1) 409.6 lbs. (e) The standard deviation cannot be determined without being given the covariance of the weights between individual bags