Forty percent of the homes constructed in the Quail Creek area include a security system. Quail Creek is a very large housing development. Three homes are selected at random: (A tree diagram would be helpful. See pages 155-158).
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. What is the probability of two homes having a system?
e. Did you assume the events to be dependent or independent?