(Solved): and \( P\left(B \mid A_{3}\right)=0.30 \). (Assume that \( A_{1}, A_{2} \), and \( A_{3} \) are mu ...

and \( P\left(B \mid A_{3}\right)=0.30 \). (Assume that \( A_{1}, A_{2} \), and \( A_{3} \) are mutually exclusive events whose union is the entire sample space.) (a) Compute \( P\left(B \cap A_{1}\right), P\left(B \cap A_{2}\right) \), and \( P\left(B \cap A_{3}\right) \). \[ \begin{array}{l} P\left(B \cap A_{1}\right)= \\ P\left(B \cap A_{2}\right)= \\ P\left(B \cap A_{3}\right)= \end{array} \]