(Solved): Complete the following probability distribution table and then calculate the stated probabilities. ...

Complete the following probability distribution table and then calculate the stated probabilities. (a) \( P(\{a, c \), e \( \}) \) \[ P(\{\mathrm{a}, \mathrm{c}, \mathrm{e}\})= \] (b) \( P(E \cup F) \), where \( E=\{a, c \), e \( \} \) and \( F=\{ \) b, c, e \( \} \) \( P(E \cup F)=\quad \propto \) (c) \( P\left(E^{\prime}\right) \), where \( E \) is as in part (b) \( P\left(E^{\prime}\right)= \) (d) \( P(E \cap F) \), where \( E \) and \( F \) are as in part (b) \( P(E \cap F)= \)