ECI-114 Summer Session II-2015
Probabilistic Systems Analysis for Civil Engineers
Midterm: August 19, 2015
Show all steps of your work. You just need to have the correct expression, like "4!/2!". Plea
Homework 2 Solution Key
ECI 114 - SSII 2015
Show all work explicitly and explain your answers. Write your name on the top of each page of your assignment,
number each page, and staple all pages togeth
ECI114 HW3 Due 5p.m Wed, Oct. 26th
Q1.
a) Here cylinders are selected without replacement. And n/N = 5/15 > 0.1.
Thus, X is a hypergeometric random variable, i.e. it uses the multiple
combinations rul
Solutions to Exercises
from
Homework #2, ECI 114
Spring 2016
Arturo Palomino and Professor Jaller
April 27, 2016
Homework # 2: Random Variables
and Distribution Functions
1
8 points
The following circ
ECI 114
Fall 2009
Name
Solutions
Midterm 1 (100 points)
Wednesday, October 28, 2009
Show your work. Its not necessary to give a final numerical answer unless speci fically asked, but you
need to provi
Gil Tal ECI 114 Homework Assignment 1
1. Problem 6-8 (a), (b), p. 195
a. Mean:
Y=
y
i =1
N
i
= 2.173333
N
2 s =
b. Sample Variance:
( Y
i=1
N
i
- Y )2 =
0.4303
N -1
Standard variation: s = s2 = 0.6560
Homework 1 Solution Key
ECI 114 - SSII 2015
Show all work explicitly and explain your answers. Write your name on the top of each page of your assignment,
number each page, and staple all pages togeth
ECI 114 University of California, Davis Department of Civil and Environmental Engineering Homework Assignment 3 (62 points) Due 5:00 p.m. Wednesday, October 30, 2002
Fall 2002
Show all work and explai
ECI 114
Fall 2011
NAME: _
Final Examination (Solutions)
Monday, December 5, 2011, 10:30 a.m. - 12:30 p.m.
100+5 bonus points
Show your work. Its not necessary to give a final numerical answer unless s
1
ECI 114:
PROBABILISTIC SYSTEMS ANALYSIS
MOMENTS AND MOMENT
GENERATING FUNCTIONS
INSTRUCTOR: Kaveh Zamani
2
Lecture 1
Moments
Moment Generating Functions
Characteristic functions (not in the exam)
Mo
Homework 5
ECI 114 - SSII 2015
Due to: Tuesday, September 8, 8:00 AM in class
1- A random sample has been taken from a normal distribution and the following confidence
intervals constructed using the
1
ECI 114:
PROBABILISTIC SYSTEMS ANALYSIS
LECTURES 4-6
INSTRUCTOR: Kaveh Zamani
2
Lecture 4
Random Variables
Probability Density Functions (PDF)
Cumulative Distribution Functions (CDF)
Mean and Varian
31
Lecture 2
Interpretation of Probability
Addition Rules
Counting techniques
Conditional Probability
Multiplication and Total Probability Rules
Probability
32
Probability is used to quantify the like
1
ECI 114:
PROBABILISTIC SYSTEMS ANALYSIS
LECTURES 1-3
INSTRUCTOR: Kaveh Zamani
2
Lecture 1
The Role of Statistics in Engineering
Sample Spaces and Events
The Engineering Method
3
Usual steps in the E
Homework 3
ECI 114 - SSII 2015
1- (10 points) A synthetic fiber used in manufacturing carpet has tensile strength that is normally
distributed with mean 75.5 psi and standard deviation 3.5 psi. Find t
70
Lecture 3
Independence
Bayes Theorem
Independence
71
In some cases, we might have that
P(AB) = P(A)
e.g., the probability of failure of a building in the US given that
an earthquake occurred in Ita
1
Conditional Probability Distribution
When two random variables are defined in a random experiment,
knowledge of one can change the probabilities that we associate to the
others
Conditional probabi
Applied Statistics and Probability for Engineers, 5th edition
July 2, 2010
CHAPTER 2
Section 2-1
Let e and o denote a bit in error and not in error (o denotes okay), respectively.
2-2.
eeee, eoee, oee
III. Random Variables
Miguel Jaller, Ph.D.
Assistant Professor
Department of Civil and Environmental Engineering
University of California, Davis
2
Today
BayesTheorem (From last lecture)
Random variabl
II. Probability
Miguel Jaller, Ph.D.
Assistant Professor
Department of Civil and Environmental Engineering
University of California, Davis
Today
2
Permutations and Combinations
Independence
BayesTheor
JWCL232_c02_017-065.qxd
28
1/7/10
9:45 AM
Page 28
CHAPTER 2 PROBABILITY
EXERCISES FOR SECTION 2-1
Provide a reasonable description of the sample space for each
of the random experiments in Exercises 2
III. Probability Distribution
Miguel Jaller, Ph.D.
Assistant Professor
Department of Civil and Environmental Engineering
University of California, Davis
2
Today
Review examples:
Random variables
Proba
UNIVERSITY OF CALIFORNIA DAVIS
Department of Civil and Environmental Engineering
Probabilistic Systems Analysis for Civil Engineers (ECI 114)
Fall 2012
Midterm (1)
Monday, October 29, 2012
1) (8 point