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Problem 57 Medium Difficulty

Use the following information to answer the next four exercises. Table 3.15 shows a random sample of musicians and how they learned to play their instruments.
TABLE CANNOT COPY

Are the events “being a female musician” and “learning music in school” mutually exclusive events?

Answer

both events are not mutually exclusive.

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Video Transcript

Hi. We're answering a question 57 which asked, Are the events being a female musician and learning music in school? Mutually exclusive events. So remember, the definition of mutually exclusive is to events that can't happen at the same time. So this is can't happen at the same time. So if we look at our table, the probability that being a female musician and learning music in school, the road that has female and the studied in school, um, columns of the female roe in the studied in school column do have a number in them. It is 38. So there are 38 students who were female and studied in school. So if we have students who did both, they can't be mutually exclusive because they wouldn't happen at the same time. So the answer is no. They're not mutually exclusive because they can happen at the same time. So no, they can happen at the same time. Can happened at the same time. Thank you. Have a good day.