We are interested in analyzing data related to college football. Use S to denote the team is in the SEC and use W to denote a team has a winning season. The probability that a team is in the SEC in the data set is 5.5%. The probability that a team has a winning season is 52.5%. The probability that a team is in the SEC and has a winning season is 3.55%. What percentage of teams are in the SEC or had a winning season? b. What percentage of people teams are in the SEC and did NOT have a winning season? Given a team had a winning season, what is the probability that they are in the SEC? d. What percentage of players are NOT in the SEC and did NOT have a winning season? Are S and W mutually exclusive events? Why or why not? f. Are S and W independent events? Explain, using probabilities. g. If we know a team is in the SEC, what is the probability that they had a winning season? а. c. е.

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