1. At Mckenzie High school, the following data was collected. On a team sport Not on a team sport On the marching band 14 208 222 Not on the marching band 804 1105 1909 818 1313 a. What is the conditional probability of being on the marching band, given that you know the student plays a team sport? Show your work. b. What is the probability of being on the marching band, and how is this different from part (a)? Explain completely. C. Are the two events, {on the marching band) and {on a team sport} associated? Use probabilities to explain why or why not. 2. A bag contains 12 green marbles, 10 yellow marbles, and 15 red marbles. If I were to reach in and grab one at random, what is the probability that I draw out a. a green or a red marble? b. a not-yellow marble? C. Are your answers for the two previous parts the same? Why? Explain completely