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?