In a Recent Survey About Appliance Ownership, 58

question 95

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.

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Definitions:

Gastrovascular Cavity

A central cavity in certain simple organisms, such as cnidarians, serving both digestive and circulatory functions.

Tentacle

Flexible, often elongated appendages found in some animals, like octopuses and jellyfish, used for sensation, locomotion, and feeding.

Cnidarians

Cnidarians are a phylum of aquatic invertebrates that include jellyfish, corals, and sea anemones, characterized by a simple body plan with a mouth surrounded by tentacles.

Gills

Respiratory organs found in many aquatic organisms, used for the exchange of gases (oxygen and carbon dioxide) with the water.