A freight company is shipping boxes that have an expected value of 2000 TL. The variance of the value of boxes is 40,000 TL². The expectation of the number of boxes that are damaged as a result of falling as they are being moved is 60. The variance in the number of boxes that are damaged (due to these falls) is 90. The number of damaged boxes and the value of each box is independent. Let S represent the total value of damage incurred as a result of all of the boxes that fell. a) Calculate E[S]. b) Calculate Var[S].

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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A freight company is shipping boxes that have an expected value of 2000 TL. The
variance of the value of boxes is 40,000 TL². The expectation of the number of boxes that
are damaged as a result of falling as they are being moved is 60. The variance in the
number of boxes that are damaged (due to these falls) is 90. The number of damaged
boxes and the value of each box is independent. Let S represent the total value of damage
incurred as a result of all of the boxes that fell.
a) Calculate E[S].
b) Calculate Var[S].
Transcribed Image Text:A freight company is shipping boxes that have an expected value of 2000 TL. The variance of the value of boxes is 40,000 TL². The expectation of the number of boxes that are damaged as a result of falling as they are being moved is 60. The variance in the number of boxes that are damaged (due to these falls) is 90. The number of damaged boxes and the value of each box is independent. Let S represent the total value of damage incurred as a result of all of the boxes that fell. a) Calculate E[S]. b) Calculate Var[S].
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