1. (4 points) A college is conducting a study to determine if it should switch to a new Learning Management System (LMS). Students that agreed to participate in the study must conclude with a "Yes" or "No" in favor or against the assigned LMS. Out of the 680 students that were involved in the study, 306 were assigned to the current BoardLMS, and the rest were assigned to SpaceLMS. Among those assigned to BoardLMS, 52% concluded with a "Yes". However, 63% of those assigned SpaceLMS concluded with a "Yes". a. (2 points) If a randomly selected student from the sample happened to conclude with a "No" decision, find the probability that the student is assigned to SpaceLMS. b. (2 points) If a student that was selected at random concluded with a "Yes" decision, determine the probability that the student is assigned to BoardLMS. brbagy