<p>Given that \(X\) and \(Y\) are independent variables such that \(\mathrm{E}(X)=10\), \(\mathrm{Var}(X)=12\), \(\mathrm{E}(Y)=5\) and \(\mathrm{Var}(Y)=8\).</p>
<p>Find the expectation and variance of</p>
<ol class="i-list"><li><div class="list-item-content"><span class="list-item-text">\(4X + 2Y\)</span></div></li><li><div class="list-item-content"><span class="list-item-text">\(3X - 4Y\)</span></div></li><li><div class="list-item-content"><span class="list-item-text">\(X_1 + X_2 + X_3 - Y_1 - Y_2 - Y_3 - Y_4\)</span></div></li></ol>

Given that \(X\) and \(Y\) are independent variables such that \(\mathrm{E}(X)=10\), \(\mathrm{Var}(X)=12\), \(\mathrm{E}(Y)=5\) and \(\mathrm{Var}(Y)=8\).

\(X_1 + X_2 + X_3 - Y_1 - Y_2 - Y_3 - Y_4\)

Discrete Random Variables (DRV)

H2 Math

International Baccalaureate Higher Level Mathematics

Discrete Random Variables (DRV)

Question 47b6a748