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6.2 Exercise 1

Avg difficulty 2.5

The following simple random variable is in canonical form:

$X = - 3 . 75 I_{A} - 1 . 13 I_{B} + 0 I_{C} + 2 . 6 I_{D}$ .

Express the events $\left\{X \in \left(- 4 , 2\right]\right\} , \left\{X \in \left(0 , 3\right]\right\} , \left\{X \in \left(- \infty , 1\right]\right\}$ , $\left\{\left|X - 1\right| \geq 1\right\}$ , and $\left\{X \geq 0\right\}$ in terms of $A , B , C$ , and D.

Pfeiffer, Applied Probability, 6.2 Problems on Random Variables and Probabilities, exercise 1

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