Discover a world of knowledge at Westonci.ca, where experts and enthusiasts come together to answer your questions. Connect with professionals ready to provide precise answers to your questions on our comprehensive Q&A platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

A class of students were asked if they played a sport and/or instrument
3 students played both.
8 students played an instrument.
16 students didn't play a sport.
12 students played a sport, but not an instrument.

1. Organize the data into a two-way frequency table or Venn diagram.
2. What's the probability that a randomly selected student plays an instrument?
3. Explain what P(Instrument | Sport) means in the context of the problem.
4. Find P(Instrument | Sport)
5. Find P(Instrument or Sport)
6. Find P(Instrument and Sport)
7. Are students playing an instrument and sport dependent or independent of one another? Explain.