(Solved): Probability \( A, B, C \), and \( D \) are boolean random variables, and \( E \) is a random varia ...

Probability \( A, B, C \), and \( D \) are boolean random variables, and \( E \) is a random variable whose domain is \( \left\{e_{1}, e_{2}, e_{3}, e_{4}, e_{5}\right\} \). How many entries (size column) are in the following probability tables and what is the sum of the values in each table? Write "?" if there is not enough information given. What are the minimum numbers of parameters needed to fully specify the distribution \( P(A, B \mid C, d, E) \) and \( P(A, c, E) \) Simplify \( \sum_{a^{\prime}} P\left(a^{\prime} \mid B, E\right) P\left(c \mid a^{\prime}, B, E\right) \)