An Automobile Dealer Has Kept Records on the Customers Who

question 76

Short Answer

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 35% of the females who visited his dealership purchased an automobile, while 20% of the males who visited his dealership purchased an automobile. Let
A1 = the event that the customer is female A2 = 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?

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Definitions:

Precedence Diagram

A visual representation of the sequence in which work must be performed in a project, showing the order of tasks and their dependencies.

Task Times

The estimated or recorded time required to complete specific tasks or operations within a job or process.

Assembly Operation

A manufacturing process in which components or parts are systematically put together to form a finished product.

Output Rate

The speed or efficiency at which goods are produced or services are provided by a process, system, or workforce.