<p>Given that \(X\) and \(Y\) are independent variables such that \(\mathrm{E}(X)=-3\), \(\mathrm{Var}(X)=5\), \(\mathrm{E}(Y)=3\) and \(\mathrm{Var}(Y)=14\).</p>
<p>Find the expectation and variance of</p>
<ol class="i-list"><li><div class="list-item-content"><span class="list-item-text">\(5X+6Y\)</span></div></li><li><div class="list-item-content"><span class="list-item-text">\(-4X-7Y\)</span></div></li><li><div class="list-item-content"><span class="list-item-text">\((X_{1}+X_{2}+....X_{5})-(Y_{1}+Y_{2}+...+Y_{7})\)</span></div></li></ol>

Given that \(X\) and \(Y\) are independent variables such that \(\mathrm{E}(X)=-3\), \(\mathrm{Var}(X)=5\), \(\mathrm{E}(Y)=3\) and \(\mathrm{Var}(Y)=14\).

\((X_{1}+X_{2}+....X_{5})-(Y_{1}+Y_{2}+...+Y_{7})\)

Discrete Random Variables (DRV)

H2 Math

International Baccalaureate Higher Level Mathematics

Discrete Random Variables (DRV)

Question 6279d179