ECE 3530: Spring 13
University of Utah
HOMEWORK #4 - DUE: Friday, Feb 22
Write your name on everything you hand in. Show your work.
1. Exercise 3.1 from textbook.
2. (a) The function
f (x) =
1.5 2|x|, 1 x 1
0,
otherwise
is not a valid probability density

ECE 3530 PRACTICE MIDTERM 2 SOLUTIONS
1. A continuous random variable X has the probability density function:
0,
x<1
hx h, 1 x 2
f (x) =
3h hx, 2 x 3
0,
x>3
which can be graphed as
(a) Find h which makes f (x) a valid probability density function.
The a

ECE 3530 PRACTICE FINAL 2. Show your work.
1. A random sample with size n=200 is taken from a population with a known standard
deviation = 0.56. The sample has the following quantile and normal-quantile plots:
Quantile Plot
Normal-Quantile Plot
Based on t

NAME:
ECE 3530 PRACTICE MIDTERM 2
Show your work.
Closed book, limited notes (1 regular size sheet front&back). No laptops.
1. A continuous random variable X has the probability density function
0,
x<1
hx h, 1 x 2
f (x) =
3h hx, 2 x 3
0,
x>3
which can be

ECE 3530 PRACTICE MIDTERM 1 SOLUTIONS
1. There is a deck of 15 cards numbered 1 through 15.
(a) If you draw 5 cards from the deck without replacement, what is the
probability that your hand will contain the cards 10 and 13?
Notice that whether these cards

NAME:
ECE 3530 PRACTICE MIDTERM
Show your work.
Closed book, limited notes (1 regular size sheet front&back). No laptops.
1. There is a deck of 15 cards numbered 1 through 15.
(a) If you draw 5 cards from the deck without replacement, what is the probabil

NAME:
ECE 3530 FINAL
Show your work.
No credit will be given for the correct answer if no work is shown.
Four questions each worth 25 points.
Closed book, limited notes (3 regular size sheets front&back). No laptops.
1. A hybrid car manufacturer is studyi

ECE 3530/CS 3130: Eng Probability and Statistics
Spring 2013
Lectures: MWF 9:40 AM - 10:30 AM, WEB L103
Instructor: Tolga Tasdizen
Email: tolga@sci.utah.edu
Oce: WEB 3887
Oce Hours: Mondays 10:30 AM-12:00 PM and Tuesdays 11 AM-12 PM and 2
PM-3 PM
If

ECE 3530 PRACTICE FINAL 2 Solutions
1. A random sample with size n=200 is taken from a population with a known standard
deviation = 0.56. The sample has the following quantile and normal-quantile plots:
Quantile Plot
Normal-Quantile Plot
Based on this inf

NAME:
ECE 3530 MIDTERM 1
Show your work.
Four questions each worth 25 points.
Closed book, limited notes (1 regular size sheet front&back). No laptops.
1. (a) User IDs on an old computer system consist one letter from the English alphabet
followed by a si

Consider a company manufacturing various types of integrated circuits (IC). Let S be the
sample space of all possible IC types that any given product manufactured by this company
can be. Lets dene the following events:
A: The IC uses 32-bit technology
B

A more rigorous analysis of spy game (Optional Reading)
Question 1: Lets assume someone just rolled a 6 in public and announced HIT. Based on
this information what is the conditional probability that his color is blue?
Solution: Before we dive into comput

SPY GAME
Original game design by Prof. Neil Cotter
Some rules modied by Prof. Tolga Tasdizen
private
p
u1
b
l2
i
c3
1
2
3
4
5
6
Symbols for colors
THE SPY WHO
WAS CAUGHT
OUT IN THE COLD
Yellow: triangle
Blue: bar
Orange: triangle and dot
Red: dot
Purple:

ECE 341 Probability and Random Processes for
' Engineers MIDTERM 2
03/16/2012, DE 210.
o This exam has 10 questions each is worth 10 points.
0 You will be given the full 50 minutes. Use it wisely! Many of the problems have short answers; try
to nd shortcu

ECE 341 Probability and Random Processes for
Engineers MIDTERM 1
02/06/2012, DH 210.
o This exam has 5 questions, each of Which is worth 20 points.
a You will be given the full 50 minutes. Use it wisely! Many of the problems have short answers; try
to nd