Shade the given Venn diagram so that it shows: A'n (AUB) 2) Use the union rule to find n(A), given n(B) = 9, n(An B) = 5, and n(AUB) = 22 3) Market research showed that the adult residents of a certain small town in Georgia fit the following categories of cola consumption. (We assume here that no one drinks both regular cola and diet cola.) Age Totals Drink Regular Cola (R) 40 30 21-25 (V) 26-35 (M) Over 35 (0) Totals a) Find the number of people in O' UN 10 80 Drink Diet Cola (D) 15 30 50 95 Drink No Cola (N) 15 20 10 45 D 70 80 70 220 b) Find the probability that a randomly selected resident drinks regular cola. (Give your answer as a reduced fraction) MATH 1324 | Spring 2023 Due: Tuesday, January 31st 4) If a fair die is rolled and then a coin is flipped and the result recorded, what is the sample space for this experiment? Assignment #2 5) Ajar contains 3 red marbles, 4 purple marbles, 6 green marbles, and 1 orange marble. (Give your answers as reduced fractions) a. If a marble is drawn at random, what is the probability that the marble is red? b. If a marble is drawn at random, what is the probability that the marble is not green? A survey of 500 people determined the following results about their exercise habits. 242 people participate in aerobics. 278 people participate in weightlifting. 298 people participate in running. 167 people participate in running and weightlifting. 118 people participate in aerobic and weightlifting. 125 people participate in aerobics and running. 75 people participate in all three activities. 6) Draw a Venn diagram representing the above information. 7) Use the Venn diagram to answer the following: a. How many people participate in none of the activities? b. How many people participate in only one of the activities? R W