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HW7 (Due 11/7)
For \(Y\) and \(X\) take the value of 1,2, and 3, please find the capacity when the transition matrix \(T\) (\(p_{Y|X}(i|j)=T_{i,j}\)) is given by
\(T = \begin{pmatrix} 1/3 & 1/3 & 1/3 \\ 1/3 & 1/3 & 1/3 \\
1/3 & 1/3 & 1/3 \end{pmatrix}\)
\(T = \begin{pmatrix} 1/2 & 1/2 & 0 \\ 0 & 1/2 & 1/2 \\
1/2 & 0 & 1/2 \end{pmatrix}\)
If the average weight of the 10 packages is 1 Kg, and without any other information is given,
What is the maximum possible weight of the heaviest package?
What is the maximum possible weight of the 4th heaviest package?
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