MATH10120 Midterm: Math10120F14 Spring 2014 Exam2vA copy
Department of Mathematics
University of Notre Dame
Math 10120 – Finite Math.
Spring 2014
Name:
Instructor: Galvin/Diaz
Exam 2
March 6, 2014
This exam is in two parts on 11 pages and contains 15 problems worth a total of 100 points. You have
1 hour and 15 minutes to work on it. You may use a calculator, but no books, notes, or other aid is
allowed. Be sure to write your name on this title page and put your initials at the top of every page in
case pages become detached.
Record your answers to the multiple choice problems on this page. Place an ×through your
answer to each problem.
The partial credit problems should be answered on the page where the problem is given.
The spaces on the bottom right part of this page are for me to record your grades, not for you to write
your answers.
May the odds be ever in your favor!
1. (a) (b) (c) (d) (e)
2. (a) (b) (c) (d) (e)
3. (a) (b) (c) (d) (e)
4. (a) (b) (c) (d) (e)
5. (a) (b) (c) (d) (e)
6. (a) (b) (c) (d) (e)
7. (a) (b) (c) (d) (e)
8. (a) (b) (c) (d) (e)
9. (a) (b) (c) (d) (e)
10. (a) (b) (c) (d) (e)
MC.
11.
12.
13.
14.
15.
Tot.
Math 10120 Spring 2014, Exam 2 Initials:
Multiple Choice
1. (5 pts.) Let S={A, B, C, D}be the sample space of an experiment with P(A) = 0.32, P(C) = 0.21
and P(D) = 0.1. Find P(B).
(a) 0.46 (b) 0.36 (c) 0.37
(d) 0.47 (e) The number cannot be determined from the given data.
2. (5 pts.) If S={s1, s2, . . . , sn}is the sample space of an experiment, which of the following is NOT
always true?
(a) P(S) = P(s1) + P(s2) + · · · +P(sn) (b) for any si, 0 ≤P(si)≤1
(c) P(S) = 1 (d) P(s1) = P(s2) = P(s3) = · · · =P(sn)
(e) If E={s1, s3, sn}then P(E) = P(s1) + P(s2) + P(sn)
2
Math 10120 Spring 2014, Exam 2 Initials:
3. (5 pts.) A French class has 10 students, consisting of 8 women and 2 men. The professor plans to
randomly choose a group of 3 students to go on a trip to Quebec. What is the probability that the
group includes at least one man?
(a) 8/15 (b) 2/3 (c) 1/15
(d) 7/15 (e) 3/5
4. (5 pts.) Moe is given a 4-sided die with the numbers 1 to 4 on it. Larry is given a 6-sided die with
the numbers 1 to 6 on it. Curly is given an 8-sided die with the numbers 1 to 8 on it. All of them
are told to roll their dice once, which they do so, independently of each other. What is the probability
that none of them rolls a 1? (All of the dice are fair)
(a) 105
192 (b) 104
192 (c) 87
192 (d) 1
192 (e) 191
192
3
Document Summary
Let s = {a, b, c, d} be the sample space of an experiment with p (a) = 0. 32, p (c) = 0. 21 and p (d) = 0. 1. 0. 37 (e) the number cannot be determined from the given data: (5 pts. ) , sn} is the sample space of an experiment, which of the following is not always true? (a) P (s) = p (s1) + p (s2) + + p (sn) (b) for any si, 0 p (si) 1 (c) (e) P (s1) = p (s2) = p (s3) = = p (sn) If e = {s1, s3, sn} then p (e) = p (s1) + p (s2) + p (sn) A french class has 10 students, consisting of 8 women and 2 men. The professor plans to randomly choose a group of 3 students to go on a trip to quebec. What is the probability that the group includes at least one man? (a)
