8. (1 pt) Suppose a Math 1150 student has been at BenU for 6 semesters. Use the least-squares regression line to predict how many classes this student has taken. 9. (1 pt) What is the accuracy of the predicted number of classes? 10. (1 pt EC) Change two values of y in the table given above to get perfect linear cor- relation. Suppose you roll a fair die. Let A be the event that you roll at most a 4. Let B be the event that you roll an even number. 11. (1 pt) List all the outcomes in each of the three following sets: (i) the sample space; (ii) event A; and (iii) event B. What is the experiment being performed? 12. (2 pts) For each of parts (a) through (h), do the following two things: (1) draw the Venn Diagram; and (2) INTERPRET using the language of probability. (a) AUB (e) A'UB (b) AnB (f) AUB' (C) A - B (9) (AU B)' (d) B - A (h) (An B)' 13. (1 pt) Find each of the eight probabilities P(A U B), P(An B), P(A - B), P(B - A), P(A' U B), P(A U B'), P((A U B)'), and P((An B)'). Remember, the die is fair. Suppose now that the die is loaded, i.e. unfair. Consider the same events A and B from the previous three problems. 14. (1 pt) If P(A) = 0.50 and P(B) = 0.35, what is the largest possible value of P(AUB)? The smallest possible value? 15. (1 pt EC) If P(A) = 0.45 and P(B) = 0.80, what is the largest possible value of P(An B)? The smallest possible value? [Note: this problem is not asking about A U B, but about An B.] 2