(i)[3]
Construct a table that gives the probability distribution of $X$.
(ii)[3]
Determine $\text{E}(X)$ and $\mathrm{Var}(X)$.
Mathematics 9709 · AS & A Level · The Poisson distribution
The Poisson distribution — practice question
A fair die with faces labelled $1, 2, 2, 2, 3, 6$ is tossed. The score, $X$, is obtained by squaring the number on the upper face and then taking away $4$.