Mathematics 9709 · AS & A Level · Discrete random variables

Discrete random variables — practice question

A fair coin and a fair ordinary six-sided die are tossed together. The random variable $X$ is defined like this: when the coin lands tails, $X$ is double the die score; when the coin lands heads, $X$ equals the die score if it is even, and $X$ is $0$ otherwise.
(a)[3]

Construct the probability distribution table for $X$.

(b)[3]

Calculate 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 showing the correct $x$ values and at least two correct probabilities

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