<p>A fair die is thrown once and random variable $X$ denotes the score obtained. Write down $\mathrm{E}\left( X \right)$ and show that $\mathrm{Var}\left( X \right)=\frac{35}{12}$. The die is thrown twice, and ${{X}_{1}}$and${{X}_{2}}$ obtained from each attempt.</p>
<p>Tabulate the probability distribution of $Y=\left| {{X}_{1}}-{{X}_{2}} \right|$, and find $E\left( Y \right)$.</p>
<p>The random variable $Z$ is defined by $Z={{X}_{1}}-{{X}_{2}}$. State with reasons whether or not</p>
<ol class="i-list"><li><div class="list-item-paragraph">$E\left( {{Z}^{2}} \right)=E\left( {{Y}^{2}} \right)$.</div></li><li><div class="list-item-paragraph">$\mathrm{Var}\left( Z \right)=\mathrm{Var}\left( Y \right)$.</div></li></ol>

A fair die is thrown once and random variable $X$ denotes the score obtained. Write down $\mathrm{E}\left( X \right)$ and show that $\mathrm{Var}\left( X \right)=\frac{35}{12}$. The die is thrown twice, and ${{X}_{1}}$and${{X}_{2}}$ obtained from each attempt.

Tabulate the probability distribution of $Y=\left| {{X}_{1}}-{{X}_{2}} \right|$, and find $E\left( Y \right)$.

The random variable $Z$ is defined by $Z={{X}_{1}}-{{X}_{2}}$. State with reasons whether or not

$E\left( {{Z}^{2}} \right)=E\left( {{Y}^{2}} \right)$.

$\mathrm{Var}\left( Z \right)=\mathrm{Var}\left( Y \right)$.

Discrete Random Variables (DRV) - General

Discrete Random Variables (DRV)

H2 Math

International Baccalaureate Higher Level Mathematics

N1978 P2 Q12

N1978 P2 Q12

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