CE93-Engineering Data Analysis
Mark Hansen, Fall 2009
Assignment 8 Solutions
1. Problem 5.37 in Ross.
If
a)
=
>2
,
~exp
=1
=1
2 =1 1
=
= 0.135
1-expcdf(2,1)
b)
>3
>2 =
=
=
.
= 0.368
(1-expcdf(3,1)/(1-expcdf(2,1)
2. Problem 5.39 in Ross.
If ~ exp
=
=
1000
CE93-Engineering Data Analysis
Mark Hansen, Fall 2009
Assignment 4 Solutions
1. Earthquakes and tidal waves
Define everything:
Probability of earthquake = P(E) = 0.01
Probability of eastbound tidal wave given that earthquake happens = P(TE|E) = 0.03
Proba
CE93-Engineering Data Analysis
Mark Hansen, Fall 2009
Assignment 4
Due 9/29/2009 9:10 AM
1. There is an active earthquake fault in the middle of the Indian Ocean. Within the next 50 years,
there is a 1% chance that a major earthquake will occur on this fa
CE93-Engineering Data Analysis
Mark Hansen, Fall 2009
Assignment 6
1. Bay Bridge repairs:
days for repair A +
Total
days (T)
Probabilities
( ) = ( ) (
days for repair B (TA+TB)
6+7
6+8
6+9
13
14
15
16
17
7+7
7+8
7+9
8+7
8+8
8+9
0.06
0.08
0.06
0.09
0.12
0.
CE93-Engineering Data Analysis
Mark Hansen, Fall 2009
Assignment 5 Solutions
1. Problem 3.38 in Ross
a. 2 out of 4 system
P(2 out of 4 system works)=P(>=2 work)=1-P(only 1 works)-P(none work)
= 1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
Can also do
P(2 out of
CE93-Engineering Data Analysis
Mark Hansen, Fall 2009
Assignment 5
Due 10/6/2009 9:10 AM
1. Problem 3.38 in Ross. (Note: There is a typothe questions (a) and (b) appear above the
definition of a k-out-of-n system.)
2. Problem 3.41 in Ross.
3. Problem 3.47
CE93-Engineering Data Analysis
Mark Hansen, Fall 2009
CE93 Homework 2 Solution
1. Sample median and mean values.
> median(x), mean(x), median(y), mean(y)
Data
Density
Strength
Median
2445
60.10
Mean
2444.9
60.14
These measures fall in the central regions
CE93 Homework 1 Solution
1. Histograms, frequency diagrams, normalized frequency diagrams and normalized frequency polygon for the
density
- Histograms
10
12
unequal bins : his t(x , [2410:10: 2470 2490])
10 equal bins: his t(x)
9
10
8
8
6
No. of Data
No
University of California at Berkeley Department of Civil & Environmental Engineering
Structural Engineering Mechanics & Materials Instructor: Armen Der Kiureghian
Student name:_
CE 93 - Engineering Data Analysis First Midterm Examination Thursday, October
University of California at Berkeley Department of Civil & Environmental Engineering
Structural Engineering Mechanics & Materials Instructor: Armen Der Kiureghian
Student name:_
CE 93 - Engineering Data Analysis First Midterm Examination Thursday, March 6
CE93-Engineering Data Analysis
Mark Hansen, Fall 2009
Assignment 2
Due 9/15/2009 9:10 AM
Using MATLAB, compute the following statistical quantities for the samples of data for
described in Assignment 1:
and
1. Sample median and mean values. Observe and co
Lab Session for CE 93: Engineering Data Analysis
Probability Distributions
Binbin Li
Mar. 9, 2016
Distributions
Discrete
Content
Distributions in MATLAB
Distributions for Discrete RVs
Binomial, Geometric, Poisson
Distributions for Continuous RVs
Expone
Lab Session for CE 93: Engineering Data Analysis
Seismic Hazard Analysis I
Binbin Li
Feb. 24, 2016
Introduction
Source Model
Content
General Introduction
Seismic-Hazard Source Model
Ground Motion Model
Exceeding Probability Computation
Ground Motion
E
Lab Session for CE 93: Engineering Data Analysis
Elements of Probability Theory
Binbin Li
Feb. 10, 2016
Basics
Algebra
Content
Basic Ideas
experiments, sample space, event
Algebra of events
union, intersection, complement
Probability
frequency notio
Lab Session for CE 93: Engineering Data Analysis
Random Variables
Binbin Li
Feb. 17, 2016
Probability
Random Variables
Content
More on Probability
conditional probability
total probability theorem
Bayes theorem
Random Variables
discrete random variables
Fall 2009
Hansen
Assignment 13 solutions
Due 12/8/2009 9:10 AM
Data for all questions have been entered below to make your life (and ours) easier.
1. Problem 9.1 in Ross.
a) Scatterplot
26
24
22
20
18
16
14
12
10
8
6
5
10
15
20
b) Linear curve fit
30
25
y
Fall 2009
Hansen
Assignment 12
Due 12/1/2009 9:10 AM
1. Problem 8.5 in Ross.
: = 200
: < 200
=5
=8
We can find = 199.11 5
=
8 199.11 200
= 0.502
5
=
5% level of significance:
= . = 1.645
Since
> 1.645, we fail to reject
at the 5% level
10% level of signif
CE93-Engineering Data Analysis
Mark Hansen, Fall 2009
Assignment 3
Due 9/22/2009 9:10 AM
1. Problem 3.5 in Ross.
2. Problem 3.12 in Ross.
3. The direction that container ships take through a given (plan) area over the Pacific is always
between due North (
CE93-Engineering Data Analysis
Mark Hansen, Fall 2009
Assignment 6
Due 10/13/2009 9:10 AM
1. The duration (in hours) of two repair activities A and B on the Bay Bridge are denoted as TA and TB.
TA and TB are statistically independent. Their probability ma
CE 93 Engineering Data Analysis
Fall 2009
Assignment 8.
Due BEFORE class on Tuesday, October 27, 2009
Find the answers to all problems below using Matlab.
Please use existing commands, i.e. exppdf(1,2)=0.3033.
P(x>1) would be coded as 1-expdf(1,2).
You ge
Fall 2009
Hansen
Assignment 9 (Mock Midterm)
Due 11/3/2009 9:10 AM
This will be counted and graded like a regular assignment, but students are encouraged to attempt
it in an exam settingall at once, completely on your own, and closed book except for your
Fall 2009
Hansen
Assignment 10
Due 11/17/2009 9:10 AM
1. Problem 7.1 in Ross.
2. Problem 7.2 in Ross.
3. Special buoys are used to record the motion of the water surface, in order to obtain
measurements of wave heights. From one such buoy we have observed
Fall 2009
Hansen
Assignment 11
Due 11/24/2009 9:10 AM
1.
2.
3.
4.
5.
Problem 7.9 in Ross.
Problem 7.17 in Ross.
Problem 7.20 in Ross.
Problem 7.41 in Ross.
Problem 7.50 in Ross.
Fall 2009
Hansen
Assignment 12
Due 12/1/2009 9:10 AM
1.
2.
3.
4.
Problem 8.5 in Ross.
Problem 8.20 in Ross.
Problem 8.24 in Ross.
Students in my CE 262 class were asked to report their travel time from their residence to
the UC Berkeley campus. The result
Fall 2009
Hansen
Assignment 13
Due 12/8/2009 9:10 AM
Data for all questions have been entered below to make your life (and ours) easier.
1. Problem 9.1 in Ross.
5
6
7
10
12
15
18
20
7.4
9.3
10.6
15.4
18.1
22.2
24.1
24.8
2. Problem 9.4 in Ross.
.41
.46
.44
CE93-Engineering Data Analysis
Mark Hansen, Fall 2009
Homework 1. Graphical Representation of Data
Due 9/8/2009 9:10AM
Data E1_2.dat on the course website, taken from Ref. 1, lists the measured densities (in kg/m3) and
the 28-day compressive strengths (in
CE93-Engineering Data Analysis
Mark Hansen, Fall 2009
Assignment 7
Due 10/20/2009 9:10 AM
1. Problem 5.5 in Ross.
2. Strong earthquakes occur according to a Poisson process in the Bay Area with a mean rate of
once every 50 years. When such an earthquake o