Question: Final project. You used the Multiplication Rule to calculate probabilities about the Calculus background of your Statistics groupmates in Exercise II.

a) What must be true about the groups in order to make that approach valid?

b) Do you think this assumption is reasonable? Explain.

Exercise II: Another project. You are assigned to be part of a group of three students from the Intro Stats class described in Exercise I. What is the probability that, of your other two groupmates,

a) neither has studied Calculus?

b) both have studied at least one semester of Calculus?

c) at least one has had more than one semester of Calculus?

Exercise I: Stats projects. In a large Introductory Statistics lecture hall, the professor reports that 55% of the students enrolled have never taken a Calculus course, 32% have taken only one semester of Calculus, and the rest have taken two or more semesters of Calculus. The professor randomly assigns students to groups of three to work on a project for the course. What is the probability that the first groupmate you meet has studied

a) two or more semesters of Calculus?

b) some Calculus?

c) no more than one semester of Calculus?