Mathematics 9709 · AS & A Level · Discrete random variables

Discrete random variables — practice question

A fair red spinner has edges labelled $1, 2, 2, 3$. A fair blue spinner has edges labelled $-3, -2, -1, -1$. Each spinner is spun once, and the number shown on the edge where each spinner stops is recorded. The random variable $X$ represents the total of the two numbers obtained.
(a)[3]

Construct the probability distribution table for $X$.

(b)[2]

Given that $\text{E}(X) = 0.25$, determine the value of $\operatorname{Var}(X)$.

Worked solution & mark scheme

This 5-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 satisfying $0 \le p \le 1$, with no repeated $X$ values

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