Consider the following table, which relates a student's 2-year college with their transfer admission status at UC Davis. Accepted Denied Waitlisted CRC Delta College 4 10 2 3 5 3 Sierra College 3 10 0 25 24 23 You can leave your answers as fractions. For example, 1 is an acceptable answer. Use * to 40 39 38 denote multiplication. a. If one student is selected, find the probability that the student was denied. b. If one student is selected, find the probability that the student was from Delta College or was accepted. c. If one student is selected, find the probability that the student was accepted given that the student was from CRC. d. If one student is selected, find the probability that the student was from CRC and was denied. e. If one student is selected, find the probability that the student was from Sierra College given that the student was denied. f. If two students are selected, find the probability that the first student was a CRC student who was accepted and the second student was denied. g. If three students are selected, find the probability that the first student was a Delta College student who was denied, the second student was a CRC student who was waitlisted, and the third student was denied. h. If three students are selected, find the probability that at least one student was accepted. i. If three students are selected, find the probability that the first student was a CRC student who was accepted, the second student was a Sierra College student who was accepted, and the third student was accepted. J. If three students are selected, find the probability that at least one student was from Sierra College. k. Let A be the event that the student was from CRC. Let B be the event that the student was waitlisted. Are A and B independent? Explain. To decide, we check the equation: Select an answer Compute the left side and the right side of the equation above (leave your answers as fractions): Left side and Right side Conclusion: A and B are Select an answer I. Let A be the event that the student was from CRC. Let B be the event that the student was accepted. Are A and B mutually exclusive? Explain. To decide, we check the equation: Select an answer Compute the left side and the right side of the equation above (leave your answers as fractions): Left side and Right side Conclusion: A and B are Select an answer m. Let A be the event that the student was from Delta College. Let B be the event that the student was denied. Are A and B independent? Explain. To decide, we check the equation: Select an answer Compute the left side and the right side of the equation above (leave your answers as fractions): Left side and Right side Conclusion: A and B are Select an answer n. Let A be the event that the student was from Sierra College. Let B be the event that the student was waitlisted. Are A and B mutually exclusive? Explain. To decide, we check the equation: Select an answer Compute the left side and the right side of the equation above (leave your answers as fractions): Left side and Right side Conclusion: A and B are Select an answer