Introduction to Probability and Inference for Random Signals and Systems
ENGRD 3100

Fall 2014
ECE 3100
HOMEWORK ASSIGNMENT 1
Fall 2014
03 September 2014  Due Wednesday, 10 September at 5:00 PM in Dropbox
1. Read the book.
2. Problem 1.5. Out of the students in a class, 60% are geniuses, 70% love chocolate, and 40% fall into both
categories. Deter
Introduction to Probability and Inference for Random Signals and Systems
ENGRD 3100

Fall 2014
ECE 3100
HOMEWORK ASSIGNMENT 6  SOLUTIONS
Fall 2014
20 Oct. 2014 Due MONDAY, 27 Oct. 2014 in Dropbox
20% grade reduction per late day submission
There are 8 problems to this homework
1. OK!
2. Let Y =
X. We have, for 0 y 1,
FY (y) = P (Y y) = P (
X)
Introduction to Probability and Inference for Random Signals and Systems
ENGRD 3100

Fall 2014
ECE 3100
HOMEWORK ASSIGNMENT 7  SOLUTIONS
Fall 2014
27 Oct. 2014 Due MONDAY, 03 Nov. 2014 in Dropbox
20% grade reduction per late day submission
There are 9 problems to this homework
1. OK!
2.
(a) The random variable R is binomial with parameters p and n
Introduction to Probability and Inference for Random Signals and Systems
ENGRD 3100

Fall 2014
ECE 3100
HOMEWORK ASSIGNMENT 5  SOLUTIONS
Fall 2014
08 Oct. 2014 Due MONDAY, 20 Oct. 2014 in Dropbox
20% grade reduction per late day submission
1. OK!
2. You should get the same result.
3. You should get the same result.
4. We have that
fX (x)dx =
x
Introduction to Probability and Inference for Random Signals and Systems
ENGRD 3100

Fall 2014
ECE 3100
HOMEWORK ASSIGNMENT 9  LAST HOMEWORK
Fall 2014
19 Nov. 2014 Due MONDAY, 01 Dec. 2014 in Dropbox
20% grade reduction per late day submission
There are 14 problems to this homework
1. Read the book, Chapters 7 (not section 7.5), Chapter 5 (not sec
Introduction to Probability and Inference for Random Signals and Systems
ENGRD 3100

Fall 2014
ECE 3100
HOMEWORK ASSIGNMENT 3
Fall 2014
17 Sept. 2014 Due Wed., 24 Sept. 2014 in Dropbox
20% grade reduction per late day submission
There are 9 problems to this homework
1. Read the book: nish Chapter 1, and read Chapter 2 (pages 72118).
2. Problem 1.3
Introduction to Probability and Inference for Random Signals and Systems
ENGRD 3100

Fall 2014
ECE 3100
HOMEWORK ASSIGNMENT 3  SOLUTIONS
Fall 2014
17 Sept. 2014 Due Wed., 24 Sept. 2014 in Dropbox
20% grade reduction per late day submission
There are 9 problems to this homework
1. OK.
2.
(a) Let A be the event that a 0 is transmitted. Using the tot
Introduction to Probability and Inference for Random Signals and Systems
ENGRD 3100

Fall 2014
ECE 3100
HOMEWORK ASSIGNMENT 1  SOLUTION
Fall 2014
1. OK!
2. Let G and C be the events that the chosen student is a genius and a chocolate lover, respectively. We
have P (G) = 0.6, P (C) = 0.7, and P (G C) = 0.4. We are interested in P (Gc C c ), which i
Introduction to Probability and Inference for Random Signals and Systems
ENGRD 3100

Fall 2014
ECE 3100
HOMEWORK ASSIGNMENT 4  SOLUTIONS
Fall 2014
24 Sept. 2014 Due MONDAY, 29 Sept. 2014 in Dropbox
20% grade reduction per late day submission
There are 9 problems to this homework
1. OK.
2. The number of guests that have the same birthday as you is
Introduction to Probability and Inference for Random Signals and Systems
ENGRD 3100

Fall 2014
ECE 3100
HOMEWORK ASSIGNMENT 2
Fall 2014
10 Sept. 2014  Due Wed., 17 Sept. 2014 in Dropbox
20% grade reduction per late day submission
There are 9 problems to this homework
1. OK!
2.
(a) Generalizing the calculation that we got in class,
P (Row k selecte
Introduction to Probability and Inference for Random Signals and Systems
ENGRD 3100

Fall 2014
ECE 3100
HOMEWORK ASSIGNMENT 4
Fall 2014
24 Sept. 2014 Due MONDAY, 29 Sept. 2014 in Dropbox
20% grade reduction per late day submission
There are 9 problems to this homework
1. Read the book, all of Chapter 2.
2. Problem 2.2. You go to a party with 500 gu