SOLUTION: Recently the number of hours canadians listen to the radio has increased. Statistics Canada determines information such as this by sending out a questionnaire to a random sample of

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Question 205371: Recently the number of hours canadians listen to the radio has increased. Statistics Canada determines information such as this by sending out a questionnaire to a random sample of Canadians. The return rate for this questionnaire is approximately 47%. Approximately 77% of the canadian population is urban, but returning this questionnaire is not dependent on whether you are an urban or rural dweller.
A)Determine the probability that a canadian randomly chosen for the sample is an urban dweller and returns the questionnaire.
B.)Determine the probability that a Canadian randomly chosen for the sample is a rural dweller and does not return the questionnaire.
Answer by stanbon(75887) (Show Source):
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Recently the number of hours canadians listen to the radio has increased. Statistics Canada determines information such as this by sending out a questionnaire to a random sample of Canadians. The return rate for this questionnaire is approximately 47%. Approximately 77% of the canadian population is urban, but returning this questionnaire is not dependent on whether you are an urban or rural dweller.
A)Determine the probability that a canadian randomly chosen for the sample is an urban dweller and returns the questionnaire.
P(urban and returns questionnaire) = 0.77*0.47 = 0.3619
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B.)Determine the probability that a Canadian randomly chosen for the sample is a rural dweller and does not return the questionnaire.
P(rural and no return) = 0.23*0.53 = 0.1219
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Cheers,
Stan H.