6.2 Exercise 2

Random variable X, in canonical form, is given by $X = - 2 I_{A} - I_{B} + I_{C} + 2 I_{D} + 5 I_{E}$.

Express the events $\left\{X \in \left[2 , 3\right)\right\} , \left\{X \leq 0\right\} , \left\{X < 0\right\}$, $\left\{\left|X - 2\right| \leq 3\right\}$, and $\left\{X^{2} \geq 4\right\}$, in terms of $A , B , C , D$, and E.