<p>Given that $X\sim N(-3,5)$ and $Y\sim N(3,14)$. Find the normal distribution of</p>
<ol class="i-list"><li><div class="list-item-paragraph">$5X+6Y$ </div></li><li><div class="list-item-paragraph">$-4X-7Y$ </div></li><li><div class="list-item-paragraph">$\left( {{X}_{1}}+{{X}_{2}}+....{{X}_{5}} \right)-\left( {{Y}_{1}}+{{Y}_{2}}+...+{{Y}_{7}} \right)$ </div></li></ol>

Given that $X\sim N(-3,5)$ and $Y\sim N(3,14)$. Find the normal distribution of

$\left( {{X}_{1}}+{{X}_{2}}+....{{X}_{5}} \right)-\left( {{Y}_{1}}+{{Y}_{2}}+...+{{Y}_{7}} \right)$ 

Normal Distribution

H2 Math

International Baccalaureate Higher Level Mathematics

Linear Combinations of Normal Random Variables

Linear Combinations of Normal Random Variables