Researchers collected data on students' class standing and how they did in their English class. Freshman Pass 18 Fail 6 Withdraw 8 Sophomore Junior 5 1 3 6 9 4 30 29 . 28 is an acceptable answer. Use * to You can leave your answers as fractions. For example, 1 - 60 59 58 denote multiplication. a. If one student is selected, find the probability that the student failed. b. If one student is selected, find the probability that the student was a sophomore or passed. c. If one student is selected, find the probability that the student passed given that the student was a freshman. d. If one student is selected, find the probability that the student was a freshman and failed. e. If one student is selected, find the probability that the student was a junior given that the student failed. f. If two students are selected, find the probability that at least one passed. g. If three students are selected, find the probability that the first student was a junior who failed, the second student was a freshman who withdrew, and the third student failed. h. If three students are selected, find the probability that the first student was a freshman who passed, the second student was a junior who passed, and the third student passed. i. If three students are selected, find the probability that at least one student was a junior. j. Let A be the event that the student was a freshman. Let B be the event that the student withdrew. 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 k. Let A be the event that the student was a sophomore. Let B be the event that the student failed. 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