Statistics Solutions

[Solution] Two events, A and B, are independent, with P(A)=.3 and P(B)=.1 Are A and B mutually exclusive? Why? Find P(A \mid B) and P(B \mid A). Find P(A

Question: Two events, \(A\) and \(B\), are independent, with \(P(A)=.3\) and \(P(B)=.1\)

  1. Are \(A\) and \(B\) mutually exclusive? Why?
  2. Find \(P(A \mid B)\) and \(P(B \mid A)\).
  3. Find \(P(A \cup B)\).

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