Cool Off a Survey of Southern California Houses in a Given

Essay

Cool Off A survey of southern California houses in a given town shows that 70% of the homes have an air conditioning system and 90% of home have at least one ceiling fan. 65% of all homes surveyed had both features.
a. What is the probability that a randomly selected home neither feature?
b. What is the probability that a randomly selected home has a ceiling fan, given that it already has an air conditioning system?
c. Do these two house features appear to be independent? Justify your answer.