Researchers collected data on students' class standing and how they did in their English class. M\".- m , 30 29 28 , You can leave your answers as fractions. For example, 1 a - E - E Is an acceptable answer. Use * to denote multiplication. . a. If one student is selected, find the probability that the student failed. B b. If one student is selected, find the probability that the student was a sophomore or passed. B c. If one student is selected, find the probability that the student passed given that the student was a freshman. D d. If one student is selected, find the probability that the student was a freshman and failed. D e. If one student is selected, find the probability that the student was ajunior given that the student failed. E f. If two students are selected, find the probability that at least one passed. D 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 v . 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 v . 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 v