Hui has a class of 300 students, and only 6 have (lone their homework assignment due today. He calls on a student at random to put a problem on the board to check whether he or she has done the assignment.
a. What does Hui consider a "success" in this story? What is the probability?
b. What does Hui consider a "failure" in this story? What is the probability?
c. Why is this a Bernoulli situation? What is the parameter?
d. Define X in terms of this story. What values can X take?
e. What is the probability that the student Hui selects is one who has done the assignment?
f. If the students are independent, what is the probability that the 3rd student Hui checks will have done the assignment?