Welcome to Westonci.ca, where you can find answers to all your questions from a community of experienced professionals. Join our Q&A platform and get accurate answers to all your questions from professionals across multiple disciplines. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

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.