MATH 3810.002
Probability and Statistics Fall 2015
Meetings: Tu, Th 4:45-6:00 pm, Engr 105
Instructor: Greg Morrow
Office: Engr 284, phone: 719. 255.3184
Hours: Tu &Th: 11:00 - 11:30 and 3:30-4:30; OR, by appointment.
E-mail: gmorrow@uccs.edu Web: http://www.uccs.edu/~faculty/gmorrow/
Prerequisite: Calculus III (MATH 2350).
Text: Probability & Statistics for Engineers & Scientists, 9th ed., R.E. Walpole, R.H. Myers, S.L.
Myers, and K. Ye. Upper Saddle River, NJ: Prentice Hall (2012). ISBN: 978-0-321-62911-1.
Description: A calculus-based introduction to probability and statistics. Counting rules,
independence, Bayes' rule, random variables, expectation, probability density and cumulative
distribution function, joint and marginal distributions, discrete distributions including the binomial,
geometric, Poisson, and hypergeometric distributions; expectation, variance, covariance and
correlation, Chebyshev's inequality, continuous distributions including the Uniform, Normal,
Exponential, Gamma; normal approximation to the binomial distribution; moment generating
function; estimation of variance, sampling distributions, Central Limit theorem, Chi-square and
Student distributions, confidence intervals, two independent samples, paired samples, hypothesis
testing, statistical power, P-value.
Homework and Tests: Homework will be assigned and collected weekly; see the assignments and
due dates on the syllabus. Late homework will not be accepted. The lowest homework score will
be dropped. There will be one quiz, two mid-semester tests and a final exam. The following
percentages may be used to compute the final grade: homework, 15%; quiz, 5%; midterm tests,
25% each; final exam, 30%.
Final Exam: Tuesday, Dec. 15, 5:20 pm -­‐ 7:20 pm
Grading: 90 => grade of A, 80 => grade of B or better, 70 => grade of C or better.
Math Center
The Math Center is a study space for all students on campus, whether you need a little help, a lot of
help, or none at all. They have a staff of about 20 tutors that have taken at least through Calculus 3
(although many of them have taken several math classes beyond Calculus 3), and who have been
trained to work with students one on one. The center is a great place to sit on your own or with
classmates, work on homework, study for exams, review concepts from previous classes, or just
check your homework answers. The Math Center is located in Engineering 233. Come in, sign in, and
have a seat. If you have a question, raise your hand and a tutor will come to you. You can find the
schedule of tutors, and a lot more information about the center at http://www.uccs.edu/mathcenter
MATH 3810.002 Probability and Statistics Fall 2015 (subject to change, revised 8/10/2015)
Meetings Coverage in Text
8/25, 8/27
9/1, 9/3
HW Due Date
2.1-2.3
2.4-2.6
HW I, 9/3
9/8 Labor day holiday observed, no class
9/10
2.7
HW II, 9/10
9/15, 9/17
3.2, 3.3
HW III, 9/17; QUIZ on Ch. 2, 9/17.
9/22, 9/24
3.4, 4.1
HW IV, 9/24
9/29, 10/1
4.2-4.4
10/6, 10/8
review; Test 1
HW V, 10/1
TEST 1, covers 2.1-4.1, 10/8.
10/13, 10/20
5.1-5.5
HW VI, 10/15
10/20, 10/22
6.1-6.5
HW VII, 10/22
10/27, 10/29
6.6, 7.3
HW VIII, 10/29
11/3, 11/5
11/10, 11/12
review; Test 2
8.1-8.7
11/17, 11/19 9.4-9.5, 9.8-9.9
11/24
TEST 2, covers 4.2-6.5, 11/5.
HW IX, 11/12
HW X, 11/19
9.10-9.11
Thanksgiving holiday, 11/26
12/1, 12/3
10.1-10.3
12/8, 12/10 review for Final
HW XI, 12/ 3
HW XII, 12/8
Final Exam: Tuesday, 12/15, 5:20 pm – 7:20 pm
MATH 3810.002 Probability and Statistics Fall 2015
Homework (HW). (EC= extra credit)
I. 2.4, 2.5, 2.8, 2.10, 2.14, 2.20, 2.22, 2.30, 2.33, 2.36 [ans. (a) 180, (b) 75, (c) 105], 2.37, 2.46.
II. 2.53, 2.55, 2.59, 2.60, 2.64, 2.66, 2.76, 2.77, 2.82, 2.87, 2.89, 2.91.
III. 2.92, 2.93, 2.95, 2.97, 2.99, 2.104, 2.114, 2.119, 2.127.
IV. 3.3, 3.6 [ans. (a) 1/9, (b) .102], 3.8, 3.11, 3.12, 3.14 [P(X<1/5 hr) =0.7981], 3.21, 3.27, 3.30, 3.36.
V. 3.38, 3.40, 3.42, 3.47, 3.49, 4.1, 4.2, 4.10, 4.12, 4.15, 4.18, 4.20, 4.23.
VI. 4.35, 4.39, 4.41, 4.47, 4.52, 4.53, 4.59, 4.60, 4.64, 4.65, 4.67, 4.71, 4.76, 4.77, 4.78(EC).
VII. 5.8, 5.14, 5.16, 5.22, 5.29, 5.38, 5.44, 5.51, 5.57, 5.61, 5.64, 5.72.
VIII. 6.7, 6.9, 6.10, 6.15, 6.17, 6.24, 6.26, 6.30, 6.34, 6.35, 6.36.
IX. 6.40, 6.45, 6.46, 6.54(EC), 7.16, 7.17, 7.18, 7.19, 7.21(EC), 7.22.
X. 8.13, 8.14, 8.15, 1.16 (Ch. 1), 8.17, 8.23, 8.25, 8.34, 8.41, 8.48, 8.68.
XI. 9.2, 9.3, 9.6, 9.8, 9.11, 9.12, 9.35, 9.40, 9.43, 9.45, 9.53, 9.59, 9.66.
XII. 10.2, 10.4, 10.9, 10.10, 10.14, 10.15.