Mathematics 9709 · AS & A Level · Discrete random variables

Discrete random variables — practice question

Two fair spinners are used. One has faces labelled $1, 2, 2$ and the other has faces labelled $-2, 0, 1$. Each spinner is spun once, and the number showing when it stops is recorded. The random variable $X$ represents the total of the two numbers.
(a)[3]

Draw up a probability distribution table for $X$.

(b)[3]

Find the values of $\text{E}(X)$ 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 correctly completed table with the correct $X$ values.

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