STAT 200 Final Exam (FALL 2016) STAT 200 Final Exam 2016 | Page 5

Statistics, and 100 students take AP French. 80 students take both AP courses. Let S be the
event that a randomly selected student takes AP Statistics, and F be the event that a
randomly
selected student takes AP French. Show all work.
(a) Provide a written description of the complement event of (S OR F).
(b) What is the probability of complement event of (S OR F)?
8. Consider rolling a fair 6-faced die twice. Let A be the event that the sum of the two rolls is
at
least 10, and B be the event that the first one is a multiple of 3.
(a) What is the probability that the sum of the two rolls is at least 10 given that the first one is
a
multiple of 3? Show all work. Just the answer, without supporting work, will receive no credit.
(b) Are event A and event B independent? Explain.
9. There are 5 books in the “Statistics is Fun” series. (Show all work.
(a) How many different ways can Mimi arrange the 5 books in her book shelf?
(b) Mimi plans on bringing two of the five books with her in a road trip. How many different
ways
can the two books be selected?
10. Assume random variable x follows a probability distribution shown in the table below.