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:

Geology

The science that deals with the Earth's physical structure and substance, its history, and the processes that act on it.

Traits Evolve

The process by which characteristics or traits of organisms change over generations through natural selection and genetic drift.

Species Survive

The ability of a species to continue existence and avoid extinction by adapting to environmental changes or overcoming threats.

Uniformitarianism

The idea that the natural laws observable around us now are also responsible for events in the past. One part of this view, for example, is the idea that Earth has been shaped by the cumulative action of gradual processes like sediment deposition and erosion.