(i)[1]
Complete the table to show the possible values of $X$.
(ii)[3]
Construct a table giving the probability distribution of $X$.
(iii)[3]
Calculate $\mathrm{Var}(X)$.
(iv)[2]
Calculate the probability that $X$ is even, given that $X$ is positive.
Mathematics 9709 · AS & A Level · Linear combinations of random variables
Linear combinations of random variables — practice question
A fair spinner $A$ has edges labelled $1, 2, 3, 3$. A fair spinner $B$ has edges labelled $-3, -2, -1, 1$. Both spinners are spun once. Record the number on the edge where each spinner settles. Let $X$ denote the sum of the two numbers.