5. In Assignment 2, we looked at the different reasons that students had for choosing Saint Mary's. We looked at whether there were differences in reasons between Domestic and International students, but not other factors. Did students with different reasons for choosing Saint Mary's have different experiences. Below is a summary of reasons and whether their experiences met expectations. Which reason was the most important? Overall, my experience last fall Program Location Other Cost Grand Total was below my expectations met my expectations exceeded my expectations Grand Total 141 313 116 570 59 91 32 182 46 88 27 161 55 66 23 144 301 558 198 1057 a. What is the probability that a randomly selected student said that their experience met expectations? b. What is the probability that a randomly selected student said that their main reason was Program AND their experience met expectations? C. What is the probability that a randomly selected student said that their main reason was Program OR their experience met expectations? d. Among students who said that their main reason was Program, what is the probability that a randomly selected student said their experience met or exceeded expectations? e. Among students who said that their main reason was Cost, what is the probability that a randomly selected student said their experience met or exceeded expectations? f. Among those that said that their experience was below expectations, what is the probability that a randomly selected student said their main reason was Program? g. Are the events "main reason is Program" and "experience Below Expectations" independent? Use probabilities to justify your conclusion.