(i)[4]
Construct the probability distribution table for the score.
(ii)[3]
Find the mean and variance of the score.
(iii)[2]
Find the probability that the score exceeds the mean score.
Mathematics 9709 · AS & A Level · Linear combinations of random variables
Linear combinations of random variables — practice question
A fair spinner with five sides has faces numbered $1, 1, 1, 2, 3$. A fair spinner with three sides has faces numbered $1, 2, 3$. The two spinners are each spun once, and the score is found by multiplying the numbers shown.
Worked solution & mark scheme
This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Probability distribution table is correct, including the correct scores” …
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