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MATH399 Applied Managerial Statistics
Week 3 Assignment Addition Rules for Probabilities
QuestionIf A and B are events with P(A)=0.8, P(A OR B)=0.87, P(A AND B)=0.23, find P(B).
QuestionSuppose A and B are mutually exclusive events, and that P(A)=0.09 and P(B)=0.03. Find P(A OR B).
QuestionIf A and B are events with P(A)=0.3, P(A OR B)=0.63, P(A AND B)=0.17, find P(B).
QuestionSuppose A and B are mutually exclusive events, and that P(B)=0.24 and P(A OR B)=0.27. Find P(A).
QuestionIf a police officer pulls over someone for speeding, the police officer can either give a ticket or a warning, so it is impossible for a police officer to give a ticket and a warning for speeding. If the probability that a police officer will give a warning for speeding is 0.03, and the probability that a police officer will give a ticket or a warning for speeding is 0.52, what is the probability that a police officer will give a ticket for speeding?
QuestionAn electric company has to track on-time payments and late payments for each customer each month, so it is impossible for a customer to pay on-time and late each month. If the probability that a customer pays on-time each month is 0.55, and the probability that a customer pays late or on-time each month is 0.82, what is the probability that a customer pays late each month?
QuestionIf A and B are events with P(A)=0.5, P(B)=0.3, P(A OR B)=0.67, find P(A AND B).
QuestionIf the probability of a student selling brownies is 0.2, the probability of selling rootbeer floats is 0.4, and the probability of selling brownies and rootbeer floats is 0.01, what is the probability of a student selling brownies or rootbeer floats?

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