(a)[1]
Write down the value for $\text{P}(X_1 > X_2)$.
(b)[5]
Find the value of $\text{P}(X_1 > 2X_2 - 3)$.
Mathematics 9709 · AS & A Level · Linear combinations of random variables
Linear combinations of random variables — practice question
The random variable $X$ follows the distribution $N(10, 12)$. Two values of $X$ are selected independently at random, and they are labelled $X_1$ and $X_2$.