Courses MATH 4510/5510 Ongoing course Probability Teaching

Intro. Probability Theory – MATH 4510/5510

Studies axioms, combinatorial analysis, independence and conditional probability, discrete and absolutely continuous distributions, expectation and distribution of functions of random variables, laws of large numbers, central limit theorems, and simple Markov chains if time permits

Ongoing course

Time: MWF 10:20 AM – 11:10 AM
Location: Zoom
Office hours: See details here

Grading

Homework: 25% – Weekly homework (you must turn them in)
Midterm I (02/15): 20%
Midterm II (04/14): 25%
Final (to be announced) : 30%

Homework sets

Homework #9 (turn in the bold ones)
Chapter 5 – Problems: 5.2, 5.8, 5.13, 5.15 (hint: transform X into a standard normal and use the table of probabilities for the standard normal)
Due to 04/26

Homework #8: Study Guide on Probability Distributions.
Due to 04/09

Homework #7 (turn in the bold ones)
Chapter 4 – Problems: 4.23, 4.24, 4.26, 4.38 +(extra question posted on canvas)
Chapter 4 – Theoretical Exercises: 4.4, 4.7, 4.8
Due to 04/02

Homework #6 (turn in the bold ones)
Chapter 4 – Problems: 4.1, 4.4, 4.5, 4.6, 4.14, 4.20, 4.21
Due to 03/19

Homework #5 (turn in the bold ones)
Chapter 3 – Problems: 3.15, 3.16, 3.31, 3.43, 3.46
Chapter 3 – Theoretical exercises: 3.8, 3.25
Due to 03/12

Homework #4 (turn in the bold ones)
Chapter 3 – Problems: 3.1, 3.2, 3.4, 3.9, 3.10, 3.11, 3.18
Chapter 3 – Theoretical Exercises: 3.1, 3.2, 3.5
Due to 03/05

Homework #3 (turn in the bold ones)
Chapter 2 (8th, 9th and 10th editions)
Problems: 3, 38, 48
Theoretical Exercises: 13,15.
Due to 02/15

Homework #2 (turn in the bold ones)
Chapter 2 (8th, 9th and 10th editions)
Problems: 1 – 11, 2,8,14
Theoretical Exercises: 5,6,11, 12, 16
Due to 02/07

Homework #1: You must turn in the bold ones
From Chapter 1
Problems : 1 to 11. Turn in problem 4
Theoretical exercises: 3,4,5,6,8
Due to 01/29

All problems refer to our textbook.

Textbook

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Course notes

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