1. Five hundred first year students at a university were classified according to high school GPA and whether or not they were on probation at the end of their first semester of college. GPA 2.5 - 2.99 3.0 - 3.49 3.5 - 4.0 Total Probation 50 55 30 135 No probation 45 135 185 365 Total 95 190 215 500 a. Find the probability that a randomly selected student will be on probation at the end of the first semester. b. What is the probability that a randomly selected student had a high school GPA of 3.5 or above? c. Are the probabilities of selected student has a GPA of 3.5 or above and selected student is on academic probation at the end of the first semester mutually exclusive? d. Find the probability of selected student has a GPA of 3.5 or above OR selected student is on academic probation at the end of the first semester. e. Are the two outcomes selected student has a GPA of 3.5 or above and selected student is on academic probation at the end of the first semester independent outcomes? Show work