(a)[3]
Construct the probability distribution table for $X$.
(b)[3]
Determine $\text{E}(X)$ and $\b\mathrm{Var}(X)$.
Mathematics 9709 · AS & A Level · Discrete random variables
Discrete random variables — practice question
Two fair 6-sided dice labelled with faces $1, 2, 3, 4, 5, 6$ are tossed. The two results are recorded. The random variable $X$ is defined as follows: if the two results are the same, $X = 0$. If the results are different, $X$ is the larger result minus the smaller result.
Worked solution & mark scheme
This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “A table showing the correct $X$ values with at least one probability right.” …
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