Scenario: Choosing a major in college is one of the critical decisions that college students need to make. The four most popular college majors are Business, Nursing, Psychology, and Biology. Below is a summary of the number of students declaring each of those four majors in each of three states that offered those majors in 2022. Make sure to show your computations and give your answers in full sentences with context from the scenario. Round your answer to four decimal places. Failure to show all computations or incorrect rounding may result in a score of "not mastered". Major Pennsylvania Business Nursing Psychology Biology Total 54107 42729 44786 39607 181229 Idaho 9275 3860 6220 6898 26253 Alabama 16806 10941 10314 8341 A Total 80188 57530 B 54846 C 1. Calculate the totals for the cells labeled A, B, and C in the table. 2. What is the probability that a randomly selected student is going to a college in the state of Pennsylvania? 3. What is the probability that a randomly selected student is a Psychology or Nursing major? 4. What is the probability that a randomly selected student is a Nursing major given that they attend a college in Alabama? 5. Which is more likely that a randomly selected student goes to a college in Pennsylvania given that they are a Biology major or that a randomly selected student is a Psychology major? Show all calculations that you use and provide an explanation as to why your fina answer is the correct one.