At a certain college, 78% of all students take Statistics, and 60% of all students take Economics. 57% of all students take both Statistics and Economics. a. Let S be the event that a student takes Statistics. Let E be the event that a student takes Economics. Summarize in symbols the probabilities described above. Select an answer a = 0.57 b. Find the probability that a randomly selected student does not take Statistics. C] c. Find the probability that a randomly selected student does not take Economics C] d. Find the probability that a randomly selected student takes Statistics or Economics. C] e. Determine if the events, taking Statistics and taking Economics, are mutually exclusive. Explain. To decide, we have to calculate Select an answer a which in this problem is equal to C]. We conclude that S and E are Select an answer a , because Select an answer a