Math 381 Probability and Statistics Spring, 2009
Meetings: TR 4:30-5:45, COB 323
Instructor: Greg Morrow
Office: EN 274, (719) 255-3184
Hours: T: 10:00 -11:00, TR: 3:30-4:20, or by appointment.
E-mail: gmorrow@uccs.edu
Web: http://www.uccs.edu/~gmorrow/
Prerequisite: Calculus III (Math 235).
Text: Probability & Statistics for Engineers & Scientists, 8th ed., R.E. Walpole, R.H.
Myers, SL Myers, and K. Ye.
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, mathematical expectation, variance, covariance and correlation, Chebyshev's inequality, continuous distributions including the Uniform, Normal, Exponential, Gamma, Chi-square and Student distributions, sampling distributions, normal approximation, parameter estimation, confidence intervals, two independent samples, paired samples, hypothesis testing, P-values.
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 two mid-semester tests and a final exam. The final exam will cover material primarily from the material after the second midterm test. The following percentages may be used to compute the final grade: homework, 16%; midterm tests, 28% each; final exam, 28%.
Final Exam: Tuesday,
May 12, 4:30 am -7:00 pm
Grading: 90 => grade of A , 80 => grade of B or better, 70 => grade of C or better.
Syllabus for Math 381, Spring 2009 (subject to change, revised 1/16 /09)
Notes 1 Notes 2 Notes 3 Notes 4 Notes 5 covariance & prediction
Notes 6 Notes 7 Notes 8 Notes 9 Notes 10
Week (Tu-Th) reading due date
1/20, 1/22 1.1-1.9, 2.1-2.2
1/27, 1/29 2.3-2.5 HW I, Jan. 27
2/3, 2/5 2.6-2.8 HW II, Feb. 3
2/10, 2/12 3.1.-3.4 HW III, Feb. 10
2/17, 2/19 review HW IV, Feb. 17; Test 1, Feb. 19.
Review Test 1 Sample Solution Review Test 1
2/24, 2/26 4.1-4.2
3/3, 3/5 4.3-4.4 HW V, Mar. 3
3/10, 3/12 5.1-5.6 HW VI, Mar. 10
3/17, 3/19 6.1-6.7 HW VII, Mar. 17
3/31, 4/2 review, Test 2 HW VIII Mar. 31; Test 2, Apr. 2
Review Test 2 Sample Solution Review Test 2
4/7, 4/9 8.4-8.7, 9.1-9.7
4/14, 4/16 9.8-9.13 HW IX, Apr. 14
4/21, 4/23 10.1-10.10 HW X, Apr. 21
4/28, 4/30 10.11-10.13 HW XI, Apr. 28
5/5, 5/7 review HW XII, May 5
Final Exam: 5/12, 4:30 pm -7:00 pm
Review for Final Exam Sample Solution Review for Final Exam
Homework (HW).
I. 1.5, 1.9, 1.15, 1.16, 1.27, 2.4, 2.5, 2.6, 2.8, 2.10, 2.14.
II. 2.22, 2.30, 2.31, 2.36 (ans. (a) 180,(b) 75, (c) 105), 2.37, 2.46, 2.48 (ans. sum of mult. coeff. = 4410) , 2.55, 2.59, 2.60, 2.61, 2.62.
III. 2.70, 2.72, 2.80, 2.81, 2.91, 2.92, 2.98, 2.99, 2.101, 2.103.
IV. 3.3, 3.5, 3.6 (ans. (a) 1/9, (b) .102), 3.8, 3.14 (ans. P(X<1/5 hr)=0.7981), 3.15, 3.30, 3.38, 3.42,
3.43, 3.58 (ans. P(X>0.3|Y=0.5)=0.64).
V. 4.1 (use symmetry or polar coordinates), 4.2, 4.18, 4.20, 4.23, 4.27, 4.37, 4.42, 4.45, 4.48(extra).
VI. 4.51, 4.57, 4.58, 4.67, 4.69, 4.71, 4.72, 4.73, 4.76, 4.80 (extra credit).
VII. 5.8, 5.14, 5.18, 5.20, 5.31, 5.42, 5.44, 5.55, 5.65, 5.68.
VIII. 6.5, 6.6, 6.13, 6.23, 6.30, 6.34, 6.35, 6.40, 6.45, 6.46, 6.52 (extra credit).
IX. 8.17, 8.23, 8.36, 8.43, 9.7, 9.10, 9.15,
9.20, 9.21 (extra credit; note typo MSE:=
), 9.33.
X. 9.35, 9.40, 9.43, 9.45, 9.51, 9.59, 9.66, 9.71, 9.77 (extra).
XI. 10.2, 10.4, 10.5, 10.9, 10.14, 10.19, 10.21, 10.35, 10.43, 10.49 (extra).
XII. 10.57, 10.60, 10.63, 10.65, 10.68, 10.78 (extra).