In a Recent Survey About Appliance Ownership, 58

Essay

In a recent survey about appliance ownership, 58.3% of the respondents indicated that they own Maytag appliances, while 23.9% indicated they own both Maytag and GE appliances and 70.7% said they own at least one of the two appliances.
Define the events as
M = Owning a Maytag appliance
G = Owning a GE appliance
a.What is the probability that a respondent owns a GE appliance?
b.Given that a respondent owns a Maytag appliance, what is the probability that the respondent also owns a GE appliance?
c.Are events "M" and "G" mutually exclusive? Why or why not? Explain, using probabilities.
d.Are the two events "M" and "G" independent? Explain, using probabilities.