At a certain college, 80% of all students take Statistics, and 65% of all students take Economics. 56% 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. Wm WC] Select an answer v = 0.56 b. Find the probability that a randomly selected student does not take Statistics. Cl c. Find the probability that a randomly selected student does not take Economics D 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 v which in this problem is equal to We conclude that S and E are Select an answer V , because Select an answer V . At a school, 81% of all students carry a backpack, and 62% of all students bring their lunch. 87% of all students carry a backpack or bring their lunch (or both). a. Let B be the event that a student carries a backpack. Let L be the event that a student brings their lunch. Summarize in symbols the probabilities described above. Select an answer v = 0.87 b. Find the probability that a randomly selected student does not bring their lunch. Cl C. Find the probability that a randomly selected student does not carry a backpack B d. Find the probability that a randomly selected student carries a backpack and brings a lunch. l:] e. Determine if the events, carrying a backpack and bringing a lunch. are mutually exclusive. Explain. To decide, we have to calculate Select an answer v which in this problem is equal to We conclude that B and L are Select an answer V , because Select an answer V . In a recent survey of college students, 81% of students subscribe to Netflix. 55% of students subscribe to both Netflix and Disney+. 85% of students subscribe to Netix or Disney+. a. Let N be the event that a student subscribes to Netix. Let D be the event that a student subscribes to Disney+. Summarize in symbols the probabilities described above. Wm Select an answer V = 0.55 Select an answer V = 0.85 b. Find the probability that a randomly selected student subscribes to Disney+. l:] c. Find the probability that a randomly selected student does not subscribe to Netix. D d. Find the probability that a randomly selected student does not subscribe to Disney+. l:] e. Determine if the events, subscribing to Netix and subscribing to Disney+. are mutually exclusive. Explain. To decide, we have to calculate Select an answer v which in this problem is equal to We conclude that N and D are Select an answer V , because Select an