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3. In the United States approximately 60% of cars on the road are American made and 40% are foreign made. Of the American cars, 2% are recalled for repairs and of the foreign cards only 1% are recalled. Let A represent American, F represent foreign and R represent recalled. a. Create a tree diagram showing what could happen if a car is chosen at random. b. Fill in the chart below. The first row is done for you. Question In Symbols Probability-show work. i. What is the probability a randomly chosen car is a foreign and is recalled? P(F n R) (0.4)(0.01) = 0.004 1i. P ( F ( n R) iii. What is the probability that a foreign car is not recalled? P(R" | F) iv. What is the probability that a randomly chosen car is foreign and not recalled? V . P(R) vi. What is the probability that randomly chosen car is not recalled? vii. What is the probability that a car is a recalled American car or a recalled foreign car?1. In an elementary classroom, there are 1 1 girls and 9 boys. The teacher is going to randomly choose two students to go to the cafeteria to pick up the snacks ordered for today's party. Is it more likely that she sends two girls, two boys, or one of each? a. Complete the tree diagram below. 15 pick 2"d pick girl > P(girl and girl) = (_1) (10) =0.289 girl 20 *boy > girl -> 20 boy boy > b. Use the tree diagram to find probability that the teacher picks... i. two girls, P(G NG). ii. two boys, P(B N B). ifi. one student of each sex. iv. a girl second, given she already picked a boy first, P(G | B). v. a boy second, given she picked a girl first, P(B | G)._ 2. Draw this tree diagram again for a class with 15 girls and 7 boys