Winning team data were collected for teams in different sports, with the results

Question

Winning team data were collected for teams in different sports, with the results given in the accompanying table. Compute the following probabilities. (Make sure you show the calculation you performed on your calculator so that I can give you partial credit for incorrect answers.) What is the probability that the home team wins? What is the probability that home team wins or it is basketball game? What is the probability that the home team wins if the game is a basketball game? What is the probability that the home team wins a basketball game? Is the team that wins independent of the sport? Explain your answer using probability.

Explanation / Answer

1) P(home team wins) = 287/490 = 0.5857

2) P(home team wins or it is a basketball game) = (287+71)/490 = 0.7306

3) P(home team wins if it is a basketball game) = 127/198 = 0.6414

4) P(home team wins a basketball game) = 127/490 = 0.2592

5) P(home team wins a basketball game) = 0.2592,

P(home team wins) x P(basketball game) = 0.5857x(198/490) = 0.2366

Since these two are not equal, team that wins is not independent of sport

Related Questions

Navigate

• Browse (All)
• Browse W
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.