= 1. A shipping company handles containers in three different sizes: (1) 27 ft3 (3 × 3 × 3), (2) 125 ft3 and (3) 512 ft³. Let Xi (i 1,2,3) denote the number of type i containers shipped during a given week. With E(X) and σ² = var(X;), suppose that the mean values and standard deviations are as follows: = H1200, μ2 = 250, μ3 = 100 0₁ = 10, σ2 = 12, σ3 = 8. (a) Assuming that X1, X2, X3 are independent, calculate the expected value and variance of the total volume shipped. [Hint: Volume =27X1 +125X2 + 512X3.] (b) Would your calculations necessarily be correct if the X's were not independent? Explain.
= 1. A shipping company handles containers in three different sizes: (1) 27 ft3 (3 × 3 × 3), (2) 125 ft3 and (3) 512 ft³. Let Xi (i 1,2,3) denote the number of type i containers shipped during a given week. With E(X) and σ² = var(X;), suppose that the mean values and standard deviations are as follows: = H1200, μ2 = 250, μ3 = 100 0₁ = 10, σ2 = 12, σ3 = 8. (a) Assuming that X1, X2, X3 are independent, calculate the expected value and variance of the total volume shipped. [Hint: Volume =27X1 +125X2 + 512X3.] (b) Would your calculations necessarily be correct if the X's were not independent? Explain.
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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Kindly answer it don't copy answer from chat gpt
![=
1. A shipping company handles containers in three different sizes: (1)
27 ft3 (3 × 3 × 3), (2) 125 ft3 and (3) 512 ft³. Let Xi (i 1,2,3)
denote the number of type i containers shipped during a given week.
With E(X) and σ² = var(X;), suppose that the mean values and
standard deviations are as follows:
=
H1200, μ2 = 250, μ3 = 100
0₁ = 10, σ2 = 12, σ3 = 8.
(a) Assuming that X1, X2, X3 are independent, calculate the expected
value and variance of the total volume shipped. [Hint: Volume
=27X1 +125X2 + 512X3.]
(b) Would your calculations necessarily be correct if the X's were not
independent? Explain.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc44cb574-fdaf-4bea-bce9-6a7ee6a794a9%2F91b9e89e-b48e-4ac3-815a-10274d5f9c7f%2Fspo9tig_processed.png&w=3840&q=75)
Transcribed Image Text:=
1. A shipping company handles containers in three different sizes: (1)
27 ft3 (3 × 3 × 3), (2) 125 ft3 and (3) 512 ft³. Let Xi (i 1,2,3)
denote the number of type i containers shipped during a given week.
With E(X) and σ² = var(X;), suppose that the mean values and
standard deviations are as follows:
=
H1200, μ2 = 250, μ3 = 100
0₁ = 10, σ2 = 12, σ3 = 8.
(a) Assuming that X1, X2, X3 are independent, calculate the expected
value and variance of the total volume shipped. [Hint: Volume
=27X1 +125X2 + 512X3.]
(b) Would your calculations necessarily be correct if the X's were not
independent? Explain.
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