(i)[3]
Set out a table showing the probability distribution of $X$.
(ii)[3]
Calculate $\mathrm{Var}(X)$.
Mathematics 9709 · AS & A Level · Linear combinations of random variables
Linear combinations of random variables — practice question
A fair 6-sided die has the numbers $-1, -1, 0, 0, 1, 2$ on its faces. A fair 3-sided spinner has edges numbered $-1, 0, 1$. After the die is thrown and the spinner is spun, the number showing on the top face of the die and the number on which the spinner settles are recorded. The total of these two numbers is represented by $X$.