Mathematics 9709 · AS & A Level · Discrete random variables

Discrete random variables — practice question

A balanced 6-sided die has the faces marked $1, 2, 2, 3, 3, 3$. It is thrown twice. The random variable $X$ stands for the sum of the two numbers shown.
(a)[3]

Prepare the probability distribution table for $X$.

(b)[3]

Determine $\mathrm{E}(X)$ and $\mathrm{Var}(X)$.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: A table containing the correct $x$ values and at least one probability

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