Given (P(A)=0.30, P(B)=0.40), and (P(A cap B)=)0.20, find (a) (P(A cup B)); (b) (P(bar{A} cap B)); (c)

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Given \(P(A)=0.30, P(B)=0.40\), and \(P(A \cap B)=\)0.20, find

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

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

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

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

(e) Are \(A\) and \(B\) independent?

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Probability And Statistics For Engineers

ISBN: 9780134435688

9th Global Edition

Authors: Richard Johnson, Irwin Miller, John Freund

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