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A shipping company handles containers in three different sizes: (1)27 ft3 (3 x 3 X 3), (2) 125 ft3, and (3) 512 ft3. Let X; (i = 1, 2, 3) denote the number of type i containers shipped during a given week. With E(X,-) = p,- and V(X,-) = 0,2, suppose that the mean values and standard deviations are as follows. (Round your answers to 4 decimal places, if needed.) \"1:300 \"2:330 \"3:100 01:6 02:7 03:7 (a) Assuming that X1, X2, X3 are independent and each follow a normal distribution, what is the probability that the total volume shipped is at most 100,000 ft3? :1 (b) Referring to part (a), what is the probability that the total volume shipped is more than 90,000 ft3? :1