Question 7 (Essay Worth 10 points) (05.02 HC) Students at Warlock High are allowed to sign up for one social studies class each year. The numbers in each grade level signing up for various classes for the next school year are given in the following table: Grade U.S. History Civics World History Economics Total 10th 75 10 125 5 215 11th 130 85 75 60 350 12th 35 150 50 105 340 Total 240 245 250 170 905 Part A: What is the probability that a student will take Civics? (2 points) Part B: What is the probability that a 10th-grader will take either U.S. History or World History? (2 points) Part C: What is the probability that a student will take Economics given that he or she is in the 10th grade? (2 points) Part D: Consider the events "A student takes Civics" and "A student is a 12th-grader." Are these events independent? Justify your answer. (4 points) Question 6 (Essay Worth 10 points) (05.02 HC) [ A football quarterback has 2 more chances to throw a touchdown before his team is forced to punt the ball. He misses the receiver on the first throw 30% of the time. When his first throw is incomplete, he misses the receiver on the second throw 10% of the time. Part A: What is the probability of not throwing the ball to a receiver on either throw? (5 points) Part B: What is the probability of making at least 1 successful throw? (5 points)