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 u; = E(X;) and o,? = V(X;), suppose that the mean values and standard deviations are as follows:H = 210 H, = 240H3 = 140o, = 1102 = 13o3 =8(a) Assuming that X,, X,, X3 are independent, calculate the expected value and variance of the total volume shipped. [Hint: Volume = 27x, + 125x, + 512x3.]expected valueO ft3varianceft6(b) Would your calculations necessarily be correct if the X's were not independent? Explain.O Neither the expected value nor the variance would be correct.O The expected value would be correct, but the variance would not be correct.O Both the expected value and the variance would be correct.O The expected value would not be correct, but the variance would be correct.Need Help?Read It

Given information μ1 = 210, μ2 = 240, μ3 = 140 ?1 = 11, ?2 = 13, ?3 = 8 Volume = 27x1 + 125x2 +…

A shipping company handes containers in three different sizes: (1) 27 t (a 3), (2) 125 t, and (3) S12 . Letx,1. 2, 3) denote the number of type i containers shipped during a given week. Wwith EX) and aVX), suppose that the mean values and standard deviations are as follows: 210 -240 140 11 1D (a) Assuming that X K are independent, calculate the expected value and variance of the total volume shipped. [Hint: Velume= 27x, 125x, - s12x,) espected value variance (b) Would your calculations necessarily be correct if the Xs were not independent? Explain. O Neither the expected value nor the variance would be correct. O The expected value would be conect, but the variance would not be comect O Both the expected value and the variance would be corect. O The expected value would not be comect, but the variance would be comect. Need Help? ead

A shipping company handes containers in three different sizes: (1) 27 t (a 3), (2) 125 t, and (3) S12 . Letx,1. 2, 3) denote the number of type i containers shipped during a given week. Wwith EX) and aVX), suppose that the mean values and standard deviations are as follows: 210 -240 140 11 1D (a) Assuming that X K are independent, calculate the expected value and variance of the total volume shipped. [Hint: Velume= 27x, 125x, - s12x,) espected value variance (b) Would your calculations necessarily be correct if the Xs were not independent? Explain. O Neither the expected value nor the variance would be correct. O The expected value would be conect, but the variance would not be comect O Both the expected value and the variance would be corect. O The expected value would not be comect, but the variance would be comect. Need Help? ead

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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8,10
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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 µ; = E(X;) and o? = v(X;), suppose that the mean values and standard deviations are as follows: H1 = 230 Hz = 240 H3 = 120 01 = 9 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 = 27X1 + 125X2 + 512X3.] expected value ft3 variance ft6 (b) Would your calculations necessarily be correct if the X's were not independent? Explain. O The expected value would be correct, but the variance would not be correct. O Neither the expected value nor the variance would be correct. O The expected value would not be correct, but the variance would be correct. O Both the expected value and the variance would be correct.
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