Mathematics 9709 · AS & A Level · Discrete random variables

Discrete random variables — practice question

A fair four-sided spinner is labelled on its edges 1, 2, 2, 3. A fair three-sided spinner is labelled on its edges $-2$, $-1$, 1. Each spinner is spun, and the number on the edge at which it stops is recorded. The random variable $X$ is the total of the two recorded numbers.
(a)[3]

Construct the probability distribution table for $X$.

(b)[3]

Find the value of $\mathrm{Var}(X)$.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Probability distribution table showing the correct scores and at least one probability correct.

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