n a recent year, business failures in the United States numbered 83,384,
according to Dun & Bradstreet. The construction industry accounted for
10,867 of these business failures. The South Atlantic states accounted for
8,010 of the business failures. Suppose that 1,258 of all business failures
were construction businesses located in the South Atlantic states. A failed
business is randomly selected from this list of business failures.

Round your answers to 3 decimal places.

a. What is the probability that the business is located in the South
Atlantic states?

p =

b. What is the probability that the business is in the construction
industry or located in the South Atlantic states?

p =

c.What is the probability that the business is in the construction industry
if it is known that the business is located in the South Atlantic states?

p =

d. What is the probability that the business is located in the South
Atlantic states if it is known that the business is a construction
business?

p =

e. What is the probability that the business is not located in the South
Atlantic states if it is known that the business is not a construction
business?

p =

f. Given that the business is a construction business, what is the
probability that the business is not located in the South Atlantic states?

p =

The tolerance is +/- 0.005