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Math 381 Probability and Statistics Spring, 2008

Meetings: TR 1:40-2:55, Sci 188

Instructor: Greg Morrow

Office: Engr 271, (719) 262-3184

Hours: TR: 11:00 -11:45, 3:30-4:15, or by appointment.

Prerequisite: Calculus III (Math 235).

Text: Probability & Statistics for Engineers & Scientists, 8^th ed., R.E. Walpole, R.H. Myers, SL Myers, and K. Ye. Upper Saddle River, NJ: Prentice Hall (2007). ISBN: 0-13-187711-9.

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, 20%; midterm tests, 25% each, final exam, 30%.

Final Exam: Tuesday, May 13, 1:40-4:10pm

Grading: 90 => grade of A , 80 => grade of B or better, 70 => grade of C or better.

Syllabus for Math 381, Spring 2008 (subject to change, revised 4/25 /08)

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

1/22 , 1/24 1.1-1.9

1/29, 1/31 2.1-2.5 HW I, Jan. 29

2/5, 2/7 2.6-2.8 HW II, Feb. 5

2/12, 2/14 3.1.-3.4 HW III, Feb. 12

2/19, 2/21 4.1-4.2 HW IV, Feb. 19

HW IVa (3.42,3.43,3.58) Due Feb. 21. (NOTE CHANGE)

Review Test 1 Sample Solution Review Test 1

2/26, 2/28 4.3-4.4 Test 1, Feb. 26

3/4, 3/6 5.1-5.4 HW V, Mar. 4

3/11, 3/13 5.5-5.6, 6.1-6.4 HW VI, Mar. 11

3/18, 3/20 6.5-6.9 HW VII Mar. 18

3/25, 3/27 Spring Break

Review Test 2 Sample Solution Review Test 2

4/1, 4/3 8.4-8.7 HW VIII, THURS Apr. 3 (NOTE CHANGE)

4/8, 4/10 9.1-9.6 Test 2, Apr. 8

4/15, 4/17 9.8-9.11 HW IX, Apr. 17

4/22, 4/24 9.12-9.13, 10.1-10.4 HW X, Apr. 24

4/29, 5/1 10.5-10.10 HW XI, May 1

5/6, 5/8 10.11-10.13 HW XII, May 8 Review for Final Exam

Sample Solution Review for Final Exam

5/13 Final Exam: 5/13, 1:40-4:10 pm

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.

III. 2.62, 2.63, 2.80, 2.81, 2.91, 2.92, 2.98, 2.99, 2.101, 2.102, 2.103, 2.104..

IV. 3.3, 3.5, 3.6 (ans. (a) 1/9, (b) .102), 3.8, 3.14(P(X<1/5 hr)=0.7981), 3.15, 3.30 , 3.38.

IVa. 3.42, 3.43, 3.58 (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 credit), 4.51.

VI. 4.57, 4.58, 4.67, 4.69, 4.71, 4.72, 4.73, 4.76, 4.80 (extra credit), 5.8, 5.14, 5.18, 5.20.

VII. 5.31, 5.42, 5.44, 5.55, 5.65, 5.68, 6.3*, 6.5*, 6.6*, 6.13*. There will be a total of 5 points extra credit possible on the 4 starred problems.

VIII. 6.23, 6.30, 6.34, 6.35, 6.40, 6.45, 6.46, 6.52, 6.56 (extra credit).

IX. 8.17, 8.23, 8.36, 8.43, 8.50, 9.7, 9.10, 9.15, 9.33.

X. 9.35, 9.40, 9.43, 9.45, 9.51, 9.59, 9.66, 9.71, 9.77.

XI. 10.2, 10.4, 10.5, 10.9, 10.14, 10.19, 10.21, 10.35, 10.43.

XII. 10.57, 10.60, 10.63, 10.65, 10.68, 10.78.