Mathematics 9709 · AS & A Level · Discrete random variables

Discrete random variables — practice question

One fair spinner has edges labelled $0, 1, 2, 2$. A second fair spinner has edges labelled $-1, 0, 1$. Both spinners are spun once. For each spinner, the number on the edge where it stops is recorded. The random variable $X$ represents the total of the two 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: Table of correct outcomes and probabilities with at least one probability correct.

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