Mathematics 9709 · AS & A Level · Discrete random variables

Discrete random variables — practice question

A fair six-sided die has faces numbered 1, 2, 2, 3, 3, 3. The random variable $X$ gives the total score after the die is rolled twice.
(a)[3]

Construct the probability distribution table for $X$.

(b)[3]

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

(c)[2]

Determine the probability that $X$ is even given that $X > 3$.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: A table showing the correct $x$-values with at least one right probability paired to the correct $x$-value

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