An Automobile Dealer Has Kept Records on the Customers Who

question 130

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:

Cohabitation

The condition of cohabitation with a partner in a sexual relationship without the formal union of marriage.

Common Law Marriage

A marriage recognized legally, despite there being no formal ceremony, based on the couple living together and presenting themselves as married for a significant period.

Open Marriage

is a form of marriage in which the partners agree that each may engage in relationships with other people, outside their marriage, sexually and/or emotionally.

Menopause

The natural biological process marking the end of a woman's reproductive years, characterized by the cessation of menstrual periods.