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 asM = Owning a Maytag applianceG = 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.
What will be an ideal response?
?
| a. | 0.363 |
| b. | 0.4099 |
| c. | No, the intersection is 0.239 and not zero |
| d. | No, P(G ? M) = 0.4099 which is not equal to P(G) = 0.363 |
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