A shipping company handles containers in three different sizes:
(a) 27 ft³ (3×3×3), (b) 125 f...
Mathematics, 10.03.2020 01:34 denjayjr681
A shipping company handles containers in three different sizes:
(a) 27 ft³ (3×3×3), (b) 125 ft³, and (c) 512 ft³.
Let Xi (i = 1, 2, 3) denote the number of type i containers shipped during a given week. With μi = E(Xi) and σi2 = V(Xi), suppose that the mean values and standard deviations are as follows:
μ1 = 200; μ2 = 240; μ3 = 120
σ1 = 10; σ2 = 13; σ3 = 8.
Assuming that X1, X2, X3 are independent, calculate the expected value and variance of the total volume shipped. [Hint: Volume = 27X1 + 125X2 + 512X3.]
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