Introduction to Mathematical Statistics I (STAT:3100, Bognar)

Homework

H1 (Due 8/26): 1.1-4, 1.1-6, 1.1-12, 1.1-16

H2 (Due 9/2): 1.2-2, 1.2-4, 1.2-12 (use binomial expansion), 1.2-15, 1.2-16

H3 (Due 9/9): 1.4-2, 1.4-4, 1.4-8, 1.4-16, 1.3-2, 1.3-10, 1.3-12(a), 1.3-16

H4 (Due 9/16): 1.5-2, 1.5-4, 1.5-12, 2.1-3 (b,c), 2.1-6 (a), 2.1-8 (a), 2.2-2, 2.2-6, 2.3-4, 2.3-8, 2.3-11, 2.3-16 (a,b)

H5 (Due 9/23): 2.4-4, 2.4-6 (use Matt's sweet app for parts (b) and (c)), 2.4-19, 2.5-3, 2.5-5, 2.5-8

H6 (Due 9/30): 2.1-11, 2.1-13, 2.1-14, 2.6-3 (use Matt's app on this one), 2.6-4, 2.6-6, 2.6-8, 2.6-13

H7 (Due 10/7): 3.1-1 (find mean & mgf only), 3.1-4, 3.1-8 (c), 3.1-10, 3.1-13, 3.1-16 (a), 3.1-18, 3.1-20

H8 (Due 10/14): 3.2-1, 3.2-2, 3.2-5, 3.2-8 (compute by hand), 3.2-9, 3.2-12 (compute (b) using app; do not compute by hand), 3.2-14, 3.2-16, 3.2-17, 3.2-24

H9 (Due 10/21): 3.3-6, 3.3-11, 3.3-12, 3.3-15, 3.3-16, 3.3-17, 4.1-1(a), 4.1-3, 4.1-6

H10 (Due 10/28): 4.2-1, 4.2-2(a-c), h10.pdf

H11 (Due 11/4): 4.4-3, 4.4-4, 4.4-7, 4.4-11, 4.4-12, 4.4-19

H12 (Due 11/11): 4.5-4, 4.5-8, 5.1-2**, 5.1-5**, 5.1-10, 5.1-13
** = do problem using 1) the distribution function (cdf) method, and 2) the change of variable (Jacobian) method

H13 (Due 11/18): 5.2-4, 5.2-8(a), 5.2-14, h13.pdf, 5.3-2, 5.3-4, 5.3-12

H14 (Due 12/2): 5.4-2, 5.4-4, 5.4-8, 5.4-16, 5.4-23, 5.5-4, 5.5-6(b), 5.5-8, 5.5-10**, 5.5-12, 5.5-16
** = Recall the quadratic formula: If $ax^2 + bx + c = 0$, then $$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$.

H15 (Due 12/9): 5.6-2, 5.6-3*, 5.6-6, 5.6-12**, 5.6-14, 5.7-4, 5.7-10, 5.7-12, 5.8-2, 5.8-4
* = find exact prob. in (a) using app, use CLT in (b)
** = find 1) approx. prob. using CLT, and 2) exact prob. using MGF technique and app


Exams

Exam 1: E1 Summary

Exam 2: E2 Summary

Probability Applets

Discrete Distributions
Continuous Distributions

Course Links

Die CLT example

Loaded die CLT example

Exponential CLT example

Syllabus

ICON (Iowa Courses Online)

UI Virtual Desktop

Contact Information

E-Mail: matthew-bognar@uiowa.edu
Office Hours: 10:00-11:30 W, 1:30-3:00 Th, and by appt.
Office: 358 Schaeffer Hall
Phone: (319)335-0799