Handout D Challenges to Solving Probability Problems
There are many things to think about when solving a probability problem, including: Establish the UniverseSample Space Establish outcomes ( experi
Introduction to Probability and Statistics for Electrical Engineering
EE 364

Fall 2014
Example 1
In your summer internship, you are working for the worlds largest producer of light bulbs.
Your manager asks you to estimate the quality of production, that is, to estimate the
probability
Introduction to Probability and Statistics for Electrical Engineering
EE 364

Fall 2014
EE364 FALL 2014: M IDTERM S OLUTIONS
Oct. 9, 2014
P ROBLEM 1 (5+5+5+15+10=40 pts): Circle the correct answer below
(a) Is the following statement TRUE or FALSE?
P (A1 A2 A3 An1 An )
= P (A1 ) P (A2 A
J. M. Mendel Spring 2010
EE 364 Midterm # 2
Closed Book Two 81/2X11 sheet of notes (both sides) permitted Calculator required Tables A.1, A.2 and A.3 required To receive full credit you must carry out
Introduction to Probability and Statistics for Electrical Engineering
EE 364

Spring 2016
Practice Problem Set 1
1. Consider the experiment of tossing a fair coin repeatedly and counting the number of tosses
required until the first head appears.
a. Find the sample space of the experiment.
Introduction to Probability and Statistics for Electrical Engineering
EE 364

Spring 2016
Lecture 2: Probability1
1. Experiment: Any process that generates a set of data.
2. Sample space: The set of all possible outcomes of a statistical experiment, S.
a. Each element of S is called a sam
Introduction to Probability and Statistics for Electrical Engineering
EE 364

Spring 2016
Lecture 3: Probability2
1. Counting Sample Points (Continued):
a. Combinations (Committees): A combination or committee is a collection
of people or things where that collection is unique (distinct).
Introduction to Probability and Statistics for Electrical Engineering
EE 364

Spring 2016
Lecture 5: Probability4
1. Additive Rules (Continued):
a. Many times it is much more difficult to calculate the probability that an
event occurs then it is to calculate the probability that the event
Introduction to Probability and Statistics for Electrical Engineering
EE 364

Spring 2016
Lecture 4: Probability3
1. Additive Rules: We now step to the next level of complexityS and multiple
events.
a. Fact 1: Multiple events are combined using logical connectors.
b. Fact 2: We associate
Introduction to Probability and Statistics for Electrical Engineering
EE 364

Spring 2016
Lecture 1: Introduction
1. Use of words that convey uncertainty in our daily language.
a. We say probable, likely, plausible, credible, impossible, presumptive,
improbable, etc. We say have a good cha
Introduction to Probability and Statistics for Electrical Engineering
EE 364

Spring 2016
EE 364 Homework 2
In Walpole et al., do the following exercises:
Sec 2.3 (pp. 5152): 2.38, 2.42, 2.48
Sec 2.5 (pp. 5962): 2.52, 2.56, 2.58, 2.64, 2.66
In addition, do the problems below:
Problem 1:
Introduction to Probability and Statistics for Electrical Engineering
EE 364

Spring 2016
EE 364 Homework 3
In Walpole et al., do the following exercises:
Sec 2.5 (pp. 5962): 2.72
Sec 2.6 (pp. 6971): 2.74, 2.82, 2.86, 2.88, 2.92
Sec 2.7 (pp. 7677): 2.96, 2.98 (assume that the events of
Introduction to Probability and Statistics for Electrical Engineering
EE 364

Spring 2016
EE 364 Homework 4
In Walpole et al., do the following exercises:
Sec 2.6 (pp. 6971): 2.76, 2.94
Sec 2.7 (pp. 7677): 2.102 (Assume that the host knows which door you picked and
which door the prize w
Introduction to Probability and Statistics for Electrical Engineering
EE 364

Spring 2016
EE 364 Homework 1
In Walpole et al., do the following exercises:
Sec 2.2 (pp. 4244): 2.2, 2.6, 2.12, 2.16, 2.18
Sec 2.3 (pp. 5152): 2.28, 2.32, 2.36
In addition, do the problems below:
Problem 1: Su
Introduction to Probability and Statistics for Electrical Engineering
EE 364

Spring 2016
Practice Problem Set 2
1. A box contains 3 blue and 2 red marbles while another box contains 2 blue and 5 red
marbles. A marble drawn at random from one of the boxes turns out to be blue. What is the
EE364 FALL 2014: H OMEWORK #2
Due date: September 25th at the start of lecture (12:30pm)
P ROBLEM 1: Consider discrete random variables X, Y with joint probability distribution
f (x, y) x = 1 x = 2 x
EE364 FALL 2014: T UTORIAL #11
Monday, Nov. 17, 2014
Note that for Homework 5 (and for this tutorial) the tables in the back of the book dont always give
exact numbers. Approximate to the best of your
EE364 FALL 2014: Q UIZ #6
Name:
Student ID:
Instructions:
(1) Quiz is graded out of 10 with 15 possible points. 5 points can count as extra credit.
(2) Please show your work. This will help maximize a
EE364 FALL 2014: T UTORIAL #2
Monday, Sept. 15, 2014
P RACTICE PROBLEMS
P ROBLEM 1 (Sample space and integration limits): Consider the probability distribution function
f (x) =
0
13
12
x
x<0
0x1
1<x
EE364 FALL 2014: T UTORIAL #12
Monday, Nov. 24, 2014
P ROBLEM 1: Suppose that the lifetime of Badger brand light bulbs is modeled by an exponential distribution with (unknown) parameter . We test 5 bu
EE 364 Fall 2014
HW #1
Due date: Thursday, Sep. 11, 2014, beginning of class
1. List the elements of each of the following sample spaces:
(a) the set of integers between 1 and 100 that are divisible b
EE364 FALL 2014: H OMEWORK #5
Due date: Nov. 20, 2014 at the start of lecture (12:30pm)
P ROBLEM 1: A 150 mlong ship is being loaded with cargo boxes in two separate compartments on front and
the bac
EE364 FALL 2014: H OMEWORK #6
Due date: Dec. 4, 2014 at the start of lecture (12:30pm)
P ROBLEM 1: Let X1 , X2 , . . . , Xn be random samples, where each Xi has a Bernoulli distribution with probabili
EE364 FALL 2014: H OMEWORK #4
Due date: Nov. 4, 2014 at the start of lecture (12:30pm)
P ROBLEM 1: The inside diameter of a piston ring is normally distributed with a mean of 15 cm and a standard
devi