In a study it is found that 38% of respondents listen to the radio in the car. Of those who listen to the radio in the car, 75N also use Amazon Music. Of those who do not listen to the radio in the car, 85% use Amazon Music. Define L to represent the set of all people who listen to the radio and A to be the set of all those who use Amazon Music. a) What is the probability that a randomly chosen respondent doesn't listen to the radio in the car? b) What is the value of P(LJ? cJ What is the value of PIAILJ? d) What percentage of all people in the study listen to the radio and do not use Amazon Music. eJ Using the ideas behind conditional probability, if you know that someone llstens to Amazon Music, what is the probability they listen to the radio in the car?

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In a study it is found that 38% of respondents listen to the radio in the car. Of those who listen to the radio in the
car, 75N aso use Amazon Music. Of those who do not listen to the radio in the car, 85% use Amazon Music.
Define L to represent the set of all people who listen to the radio and A to be the set of all those who use Amazon Music.
a) What is the probability that a randomly chosen respondent doesn't listen to the radio in the car?
bJ What is the value of P(LJ?
cJ What is the value of P(AILI?
d) What percentage of all people in the study listen to the radio and do not use Amazon Music.
e) Using the ideas behind conditional probability, if you know that someone listens to Amazon Music, what is the
probability they listen to the radio in the car?
Transcribed Image Text:In a study it is found that 38% of respondents listen to the radio in the car. Of those who listen to the radio in the car, 75N aso use Amazon Music. Of those who do not listen to the radio in the car, 85% use Amazon Music. Define L to represent the set of all people who listen to the radio and A to be the set of all those who use Amazon Music. a) What is the probability that a randomly chosen respondent doesn't listen to the radio in the car? bJ What is the value of P(LJ? cJ What is the value of P(AILI? d) What percentage of all people in the study listen to the radio and do not use Amazon Music. e) Using the ideas behind conditional probability, if you know that someone listens to Amazon Music, what is the probability they listen to the radio in the car?
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