According to the Consumer Electronics Manufacturers Association, 10% of all U.S. households have a fax machine and 52% have a personal computer. Suppose 91% of all U.S. households having a fax machine have a personal computer. A U.S. household is randomly selected.
a. What is the probability that the household has a fax machine and a personal computer?
b. What is the probability that the household has a fax machine or a personal computer?
c. What is the probability that the household has a fax machine and does not have a personal computer?
d. What is the probability that the household has neither a fax machine nor a personal computer?
e. What is the probability that the household does not have a fax machine and does have a personal computer?