week. With Hj = E(X;) and o? = v(X), suppose that the mean values and standard deviations are as follows: H1 = 230 H2 = 260 H3 = 110 01 = 11 02 = 13 03 = 6 (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 |ft3 | ft6 variance

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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A shipping company handles containers in three different sizes: (1) 27 ft3 (3 × 3 × 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 p; = E(X;) and of
V(X;), suppose that the mean values and standard deviations are as follows:
H1 = 230
M2 =
260
Из
= 110
01 = 11
02 = 13
03
= 6
(a) Assuming that X1, X2, X3 are independent, calculate the expected value and variance of the total volume shipped. [Hint: Volume =
expected value
ft3
27X1 + 125X2 + 512X3.]
variance
ft6
Transcribed Image Text:A shipping company handles containers in three different sizes: (1) 27 ft3 (3 × 3 × 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 p; = E(X;) and of V(X;), suppose that the mean values and standard deviations are as follows: H1 = 230 M2 = 260 Из = 110 01 = 11 02 = 13 03 = 6 (a) Assuming that X1, X2, X3 are independent, calculate the expected value and variance of the total volume shipped. [Hint: Volume = expected value ft3 27X1 + 125X2 + 512X3.] variance ft6
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