Use the following information for both question 7 and question 8. The table indicates the number of meetings that students in a 10-week course participated in and their grade (There are 20 meetings in total) Grade (Unit for the column is in students] Number of lectures Total of the row (for participated in Grade A Grade B Grade C Grade D Grade F your convenient in calculation) From 1 to 4 meetings 0 From 5 to & meetings 0 2 From 9 to 12 meetings 2 From 13 to 16 meetings From 17 to 20 meetings 3 Total of the column 7. Based on the table above, calculate the following quantities (Spt) a. What proportion of students in this class participated in from 5 to & meetings? (5pt) b. What percentage of students participated in LESS than 13 meetings? (Sp() c. Determine which range contains the median of number of meetings that students in this course participated in: The median is between meetings and meetings. 8. Continue with information of students' time spent on preparing the exam and their performance above: (Sp() a. Randomly pick a student in the class. Calculate the probability that such randomly taken student participated in at least 9 meetings. (3p() b. In part a of this question, was the probability you computed a conditional or an unconditional probability? Why? (Spt) c. Randomly pick a student in this class. The student tells you that he/she participated in the number of meetings between 17 and 20. Given that information, calculate the probability that the randomly taken student got grade A. (4p() d. Randomly pick a student in this class. The student tells you that he/she participated in the number of meetings between 5 and 8. Given that information, calculate the probability that the randomly taken student fail in this course. (3p() c. In part c of this question, was the probability you computed a conditional or an unconditional probability? Why