please help with hw

Researchers collected data on students' class standing and how they did in their English class. 30 29 28 You can leave your answers as fractions. For example, 1 is an acceptable answer. 60 ' 59 ' 58 Use * to denote multiplication. . a. If one student is selected. find the probability that the student failed. 13 E ~/ b. If one student is selected, find the probability that the student was a sophomore or passed. 2 J 5 c. If one student is selected, find the probability that the student passed given that the student was a freshman. 7 E J d. If one student is selected, nd the probability that the student was a freshman and failed. ~/ f. If two students are selected, find the probability that at least one passed. 1919 3600 X 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. 25 1711 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. 119 102660 i. If three students are selected, find the probability that at least one student was a junior. 147079 216000 X 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: P(A and B) = 0 v x . Compute the left side and the right side of the equation above: Left side 8 60 X and Right side 8 60 X Conclusion: A and B are independentk. 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: P(A and B) = 0 Compute the left side and the right side of the equation above: 60 Left side 234 3600 x and Right side 3600 X Conclusion: A and B are not independent V