ECE 502
Sep 9th
Probability and Random Processes
Homework Assignment 2
Fall 2015
due Sep 18th
Problem 1: (25 points) Model homework problem 10 from the 1st assignment in
MATLAB and determine experimentally, using the frequency definition of probability,
a

Plagiarism and Character Analysis
Plagiarism has been an increasingly apparent act in schooling. Plagiarism is defined as
an act or instance of using or closely imitating the language and thoughts of another author
without their authorization. It is becom

Nano-Engineering Applications of the Helium Ion Microscope
The Helium Ion Microscope is much more than a microscope. It allows the user to use a
beam of helium ions to etch into a material or build onto a material. It uses six-nine helium
which is 99.9999

Alternative Assignment
Wireless Communication Expectations for the Future
Wireless communications can already do some pretty amazing things. We use wireless
devices on the daily such as cell phones, GPS, Wi-Fi, Bluetooth, and laptops. While we once
lived

Assignment 8
One of the most threatening situations to our very existence is the collision of the
Earth with a large asteroid. An asteroid is a rocky body orbiting the sun. They can be
large in size; some are around six hundred miles. While they remain wi

Why Cryptography is a Very Important Engineering Field
Cryptography is defined as the science of making codes and encoding
information. It is a crucial part of staying secure online. Personal Computers, printers,
handheld devices, tokens, IDs, and passpor

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Problem 1:
Function erfg(x)
function[y] = erfg(x)
y = 1/(2*sqrt(2)*erf(x);
end
Code:
% Homework 3 Problem 1
% erfg(x) is a modification of erf(x) which takes care of the
constants in
% calculating the probability of Gaussian random variables. It
directly

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Social Political Applications of Worldwide Navigation Ability
In most parts of the United States we use GPS navigation regularly. I personally
use it just to navigate to places of my town I havent been to before since it is so large. It
is an extremely us

ECE 1799
Pros and Cons of Computers on Society
Computers have without a doubt impacted society. They are improving every day and
new technology seems to be coming out each minute of the day. Computers have benefitted
society in many ways such as entertain

ECE 502
Sep 9th
Probability and Random Processes
Homework Assignment 2
Fall 2015
due Sep 18th
Problem 3 (15 points): A coin with probability of heads equal to p is tossed repeatedly
until the first head appears. Let the r.v. y be the number of tails that

ECE 502
Sep 9th
Probability and Random Processes
Homework Assignment 2
Fall 2015
due Sep 18th
Problem 2 (25 points): You are going to calculate the cdf of a r.v. y g (x) in
MATLAB. The r.v. x is uniform in [-1,1], and the transformation is g ( x) x 2 . Th

ECE 502
Sep 9th
Probability and Random Processes
Homework Assignment 2
Fall 2015
due Sep 18th
Problem 4 (15 points) The r.v. x is uniform in [0, ] . y g x sin(x) . Evaluate Fy ( y )
and graph it in MATLAB. Label your graph cdf y followed by your name.
1

ECE 502
Sep 9th
Probability and Random Processes
Homework Assignment 2
Fall 2015
due Sep 18th
Problem 5 (10 points): The r.v. x is uniform in [15,15] . The r.v. y g x . Find f y ( y ) .
1

ECE 502
Sep 9th
Probability and Random Processes
Homework Assignment 2
Fall 2015
due Sep 18th
Problem 6 (10 points): A coin, not necessarily fair, is tossed and the first outcome is
noted. Let A be the event the first toss is heads. If the first toss is h

ECE 502
Sep 2nd
Probability and Random Processes
Homework Assignment 1
Fall 2015
due Sep 11th
Problem 4 (10 points): Four passengers, A, B, C, and D board a train that has 3 cars.
a) What is a typical outcome of this probability experiment?
b) What is the

ECE 502
Sep 2nd
Probability and Random Processes
Homework Assignment 1
Fall 2015
due Sep 11th
Problem 3 (10 points): The experiment consists of drawing a number between 1 and 10.
The outcomes are X 1, 2 , 10, and any number is equally likely to be drawn.

ECE 502
Sep 2nd
Probability and Random Processes
Homework Assignment 1
Fall 2015
due Sep 11th
Problem 1 (10 points): S is the set of all real numbers. A = cfw_x S| 1 x 4 and
B = cfw_x S| 3 x 6. Find A B , A B , B , and B A .
1

ECE 502
Sep 2nd
Probability and Random Processes
Homework Assignment 1
Fall 2015
due Sep 11th
Problem 2 (10 points): 2, 4, 6, 8. Find the smallest algebra (-algebra) containing
2and 4,6.
1

ECE 502
Aug 30th
Probability and Random Processes
Homework Solution 1
Fall 2016
due Sep 8th
Problem 1 (10 points): (0,1] . S is the Borel set of all real numbers restricted to (0,1].
And for any event A,
Prcfw_ A dt
A
a) Let A (0,0.4] and B (0.3,0.6] . Wh