Forty percent of the homes constructed in the Prince Creek development include a security system. Three homes are selected at random: a. What is the probability all three of the selected homes have a...

Forty percent of the homes constructed in the Prince Creek development include a security system. Three homes are selected at random:

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?