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An automobile dealer has kept records on the customers who visited his showroom. Forty percent of the people who visited his dealership were female. Furthermo his records show that 45% of the females who visited his dealership purchased an automobile, while 35% of the males who visited his dealership purchased an automobile. • Let A, - the event that the customer is female. • Let A, = the event that the customer is male. (a) What is the probabity that a customer entering the showroom will buy an automobile? (b) A car salesperson has just informed us that he sold a car to a customer. What is the probability that the customer was female? (Round your answer to three decimal places.)

An automobile dealer has kept records on the customers who visited his showroom. Forty percent of the people who visited his dealership were female. Furthermo his records show that 45% of the females who visited his dealership purchased an automobile, while 35% of the males who visited his dealership purchased an automobile. • Let A, - the event that the customer is female. • Let A, = the event that the customer is male. (a) What is the probabity that a customer entering the showroom will buy an automobile? (b) A car salesperson has just informed us that he sold a car to a customer. What is the probability that the customer was female? (Round your answer to three decimal places.)

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 68E: Determine if the statement is true or false. If the statement is false, then correct it and make it...
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An automobile dealer has kept records on the customers who visited his showroom. Forty percent of the people who visited his dealership were female. Furthermore, his records show that 45% of the females who visited his dealership purchased an automobile, while 35% of the males who visited his dealership purchased an automobile. • Let A, - the event that the customer is fermale. • Let A, - the event that the customer is male. (a) What is the probability that a customer entering the showroom will buy an automobile? (b) A car salesperson has just informed us that he sold a car to a customer. What is the probability that the customer was female? (Round your answer to three decimal places.)
Transcribed Image Text:An automobile dealer has kept records on the customers who visited his showroom. Forty percent of the people who visited his dealership were female. Furthermore, his records show that 45% of the females who visited his dealership purchased an automobile, while 35% of the males who visited his dealership purchased an automobile. • Let A, - the event that the customer is fermale. • Let A, - the event that the customer is male. (a) What is the probability that a customer entering the showroom will buy an automobile? (b) A car salesperson has just informed us that he sold a car to a customer. What is the probability that the customer was female? (Round your answer to three decimal places.)
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