An automobile company has 6,500 dealers who are polled to find out their annual incomes as well as
their age. The number of dealers in each category are given below:
Incomes (dollars) Dealers under 40 Dealers 40 and above Total
Under 100,000 1,500 1,500 3,000
100,000 and over 1,000 2,500 3,500
Total 2,500 4,000 6,500
What is the probability that a randomly chosen dealer will:
a) Have an income under $100,000?
b) Will have an income under $100,000, given that he or she is under 40?
c) Be age 40 and above, given they have an income of $100,000 and over?