Discrete Random Variables (DRV)
Discrete Random Variables (DRV)
Given that \(E\left( X \right)=3\), \(\mathrm{Var}\left( X \right)=4\), \(\mathrm{E}\left( Y \right)=-2\) and \(\mathrm{Var}\left( Y \right)=7\) . Find the expectation and variance of
- \(3X+2Y\)
- \(2X-3Y\)
- \(X_{1}+X_{2}-Y_{1}-Y_{2}-Y_{3}\)
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Answer:(i) \(E = 5\), \(\text{Var} = 64\); (ii) \(E = 12\), \(\text{Var} = 79\); (iii) \(E = 12\), \(\text{Var} = 29\)
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