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...

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?