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Discuss the concepts of mutually exclusive events and independent events. List several examples of each type...

Discuss the concepts of mutually exclusive events and independent events. List several examples of each type of event from everyday life.

  1. If A and B are mutually exclusive events, does it follow that A and B cannot be independent events? Give an example to demonstrate your answer. Hint: Discuss an election where only one person can win the election. Let A be the event that party A's candidate wins, and let B be the event that party B's candidate wins. Does the outcome of one event determine the outcome of the other event? Are A and B mutually exclusive?

  2. Discuss the conditions under which P(A and B) = P(A) · P(B) is true. Under what conditions is this not true?
  3. Discuss the conditions under which P(A or B) = P(A) + P(B) is true. Under what conditions is this not true?
Math   Statistics-And-Probability   
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