If (A) and (B) are mutually exclusive events, (P(A)=0.45), and (P(B)=0.30), find (a) (P(bar{A})); (b) (P(A cup

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If \(A\) and \(B\) are mutually exclusive events, \(P(A)=0.45\), and \(P(B)=0.30\), find

(a) \(P(\bar{A})\);

(b) \(P(A \cup B)\);

(c) \(P(A \cap \bar{B})\);

(d) \(P(\bar{A} \cap \bar{B})\).

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