C The Insid. Course H. Course H. Module 9.. C A Shippin.. C A Shippin... Bb https://le... 6. [1/3 Points] DETAILS PREVIOUS ANSWERS DEVORESTAT9 5.5.058. MY NOTES ASK YOUR TEACHER A shipping company handles containers in three different sizes: (1) 27 fts (3 x 3 x 3), (2) 125 fts, 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,) and o,2= V(X,), suppose that the mean values and standard deviations are as follows: H1 = 210 H2 = 240 H3 = 130 61 = 11 02 = 12 03 = 7 (a) Assuming that X1, X2, X3 are independent, calculate the expected value and variance of the total volume shipped. [Hint: Volume = 27X] + 125X2 + 512X3.] expected value fts variance ft 6 (b) Would your calculations necessarily be correct if the X's were not independent Explain. Both the expected value and the variance would be correct. The expected value would be correct, but the variance would not be correct. Neither the expected value nor the variance would be correct. The expected value would not be correct, but the variance would be correct. Need Help? Read It Show My Work (Optional)