Homework 2 (due September 8 (17:45)
Math 321 Probability (section 3), Fall 2016
Question 1. Show that if A and B are independent events, then Ac and B are independent
events.
Solution. From that P(Ac B) + P(A B) = P(B),
P(Ac B) = P(B) P(A B) = P(B) P(A)P(

Probability
Professor
Contact Information
Office Hours
Class Information
Textbook
Course Outline
Grading
Important
Grade Components
Fall 2015
Dr. Shirali Kadyrov
Office: 7.203
Phone: 70-91-09
Email: [email protected]
Mondays 10-12, Wednesday and F

September 6
2.2
Examples of discrete random variables
Definition 2.3. We say that the random variable X has a discrete uniform distribution with N points,
where N is a positive integer with distinct values x1 , , xN if its probability mass function is giv

August 18, 2016
Lemma 1.2. For any events A and B,
P(A B) = P(A) + P(B) P(A B).
Proof. A B = A (B \ A), which is a disjoint union. Therefore, by (c) in Definition 1.3,
P(A B) = P A (B \ A) = P(A) + P(B \ A) = P(A) + P B \ (A B)
= P(A) + P(B) P(A B)
Recall

Homework 2 (due September 8 (17:45)
Math 321 Probability (section 3), Fall 2016
Question 1. (Reading assignment : Read Examples 6a - 6f in A first course in probability to
get some intuition from real-world problems.
Question 2. Let (, F, P) be an arbitra

Chapter 1
Probability Space
August 16, 2016
1.1
Sample Spaces and Events
In this first lecture we introduce the basic vocabulary of probability theory. The objects we treat in probability
theory are random experiments. One example of the experiment is thr

August 23
1.5
Condition Probabilities
Let us consider a random experiment of tossing a fair die, and let P be the probability measure so that
P(1) = P(2) = = P(6) =
1
.
6
The probability of obtaining a prime number is
3
1
= .
6
2
Consider a question What

Homework 2 (due September 8 (17:45)
Math 321 Probability (section 3), Fall 2016
Question 1. Show that if A and B are independent events, then Ac and B are independent
events.
Question 2. Diane has 3 children, each of which is equally likely to be a girl o