Confirm that the probabilities in the two-way contingency table add up to 1 , then use it to find t…

Confirm that the probabilities in the two-way contingency table add up to 1 , then use it to find the probabilities of the events indicated. \begin{array}{|c|c|c|c|} \hline & u & v & W \\ \hline A & 0.15 & 0.00 & 0.23 \\ \hline B & 0.22 & 0.30 & 0.10 \\ \hline \end{array} a. P(A), P(B), P(A \cap B). b. P(U), P(W), P(U \cap W). c. P(U \cup W). d. P\left(V^{\circ}\right). e. Determine whether or not the events A and U are mutually exclusive; the events A and V.

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