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:

Cyclohexylamine

A primary amine derived from cyclohexane, noted for its use in the production of pharmaceuticals and corrosion inhibitors.

NMR Spectroscopy

A technique that uses nuclear magnetic resonance to determine the molecular structure of organic compounds by observing the interaction of atomic nuclei with radio waves.

N-H Functionally

Refers to compounds containing nitrogen-hydrogen bonds that have distinct properties or roles in chemical reactions, often related to base or nucleophile behavior.

Basicity

A measure of an entity’s ability to accept protons, often related to the strength of bases in chemical reactions.