https://classroom.github.com/a/JjDiSN8N

Due: 2020-02-19 by 11:59pm

1. Let $$R \sim \text{Uniform}(1, 6)$$ and $$W \sim \text{Uniform}(1, 6)$$. Suppose $$A_1 = \{R \text{ is } 4 \}$$ and $$A_2 = \{\text{sum of } R \text{ and } W \text{ is odd} \}$$.

1. Estimate in R the probabilities $$\mathbb{P}[A_1], \mathbb{P}[A_2],$$ and $$\mathbb{P}[A_1 \cap A_2]$$.

2. Determine the true population probabilities $$\mathbb{P}[A_1], \mathbb{P}[A_2],$$ and $$\mathbb{P}[A_1 \cap A_2]$$.

3. Are $$A_1$$ and $$A_2$$ independent?