1. Suppose we are studying final year algebra grades for a sample class of 7th grade students. I perform an experiment where I pick a student from the class at random and look at the student's name, attendance, and grade for the year. a) What does an outcome of my experiment consist of? What does my sample space look like? b) Is "the students that missed more than 9 classes" an outcome, event, or random variable? c) Is "the number of absences for the student I chose" an outcome, event, or random variable? Now let X represent the chosen student's numerical grade at the end of the course, and Y the student's letter grade at the end of the course. Assume that at this school, a 90-80-70-60 scale is followed, there are no plus or minus grades, and no grades are ever rounded