Question: The manufactures of M&M's milk chocolate candies decided to add another color to the standard lineupof brown, yellow, red, blue, orange, and green. In order to decide which color to add, the company asked 200 people to choose among purple, pink, and teal. Suppose each person could vote for either one, two or all three colors. Suppose that 42% voted for at least pink, 57% voted for at least purple, 40% voted for at least teal, 12% voted for at least both pink and teal, 17% voted for at least both purple and teal, 15% voted for at least both pink and purple, and 5% voted for all the three colors. (a) Use the previous information to complete the following Venn diagram (each circle represents the proportion of people that voted for at least the color that labels each circle. Thus, in the intersection of the three circles we have that 5% of the surveyed people voted for all the three colors):

\fAnswer student #1: 80 79 6320 X = = 0.1587939698 200 199 39800 Answer student #2: 40 39 X = 0.1575757576 100 99