Unformatted text preview: b) at least 4 of the problems. 4. Let P be a probability measure on a sample space S . For events A , B , and C , P ( A ) = . 7, P ( B ) = . 2, P ( C ) = . 5, P ( A ∩ C ) = . 3, A and B are independent, while B ∩ C = ∅ . (10 pts. each): a) What is the probability that none of the events A , B , C occur? b) What is the probability that exactly one of the events A , B , C occur? c) What is the probability that at most one of the events A , B , C occur? 5. (20 pts.) 80% of the members of a certain club are right handed. 20% of the righthanded members play tennis but only 10% of the lefthanded mem-bers play. If a tennis player is randomly chosen, what is the (conditional) probability the player is left handed?...
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- Spring '08
- Probability theory, Left-handedness, class a, Handedness, probability measure, Right-handedness