STAT400/MATH463Fall 2009Practice Problems ISept 24Midterm I Practice Problems1. Compute the following probabilities.a) EventsAandBare disjoint. The probability thatBwill not happen is 0.7, andP(A∪B) =0.5. FindP(A).b) IfAandBare independent events withP(A) = 0.6 andP(B) = 0.7, Find the probabilitythatAoccurs orBoccurs or both occur.c) SupposeP(A) = 0.22,P(B) = 0.25, andP(A∩B) = 0.11. FindP(A∩B).2. What is the probability that a 5-card poker hand drawn from a standard 52-card deckhas one ace and two face cards (king, queen, jack)?3.In Neverland, men constitute 60% of the labor force.The rates of unemployment are6.0% and 4.5% among males and females, respectively. A person is selected at random fromNeverlands labor force.a) What is the probability that the person selected is a male and is unemployed?b) What is the probability that the person selected is unemployed?c) Suppose the person selected is unemployed.What is the probability that a male wasselected?
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