A teacher grades his class on a 1000-point scale. Near the end of the semester, the teacher decides to give out an extra
credit assignment worth up to 100 points. The teacher gives out the following scores to each student based on their
performance on the assignment: 0, 20, 40, 60, 80, 100. Each score is added to the students final grade. Now suppose
a student in this class needs at least 40 points to pass the course. The teacher thinks of his student's score X on the
assignment as random and supposes his chances at each score is given by the following table based on his prior similar
assignments:
X-value: 0,20,40,60,80,100
P(X=x) : 0.1,0.2,0.2,0.25,0.15,0.1
What is the possibility that the student pass based on the teacher probability distribution?