Forty percent of the homes constructed in the Quail Creek area include a security system. But assume there are 10 homes in the Quail Creek area and four of them have a security system.
a. What is the probability all three of the selected homes have a security system?
b. What is the probability none of the three selected homes have a security system?
c. What is the probability at least one of the selected homes has a security system?
d. Did you assume the events to be dependent or independent?