2017 ACJC P2 Q6
Alex and his friend stand randomly in a queue with $3$ other people. The random variable $X$ is the number of people standing between Alex and his friend.
(i)
Show that $\text{P}\left( X=2 \right)=0.2$.
[2]
(ii)
Tabulate the probability distribution of $X$.
[2]
(iii)
Find $\text{E}\left( X \right)$ and $\text{E}{{\left( X-1 \right)}^{2}}$. Hence find $\text{Var}\left( X \right)$.
[3]
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