CE93_Engineering Data Analysis
Hansen, Liu, Michael, Fall 2011
Assignment 2
(Due Sep 22, 2011)
1. Problem 3.3 in Ross: Let S=cfw_1,2,3,4,5,6,7, E=cfw_1,3,5,7, F=cfw_7,4,6, G=cfw_1,4.
Find
a. EF
b. E FG
c. EGc
d. EFc G
e. Ec(F G)
f. EG FG
2. (Problem 3 fro
CE93_Engineering Data Analysis
Solution to HW2
1. Problem 3.3 in Ross.
a. EF = cfw_7
b. E U FG = cfw_1,3,4,5,7
c. EGc = cfw_3,5,7
d. EFc U G = cfw_1,3,4,5
e. Ec (F U G) = cfw_4,6
f. EG U FG = cfw_1,4
2. a.
(
)(
(
(
)(
)(
E= (
(
)(
)(
)(
)(
)(
)(
)(
)(
)(
CE 93 Fall 2011
Hansen, Liu, Seelhorst
CE 93 Fall 2011 Homework 4 Solutions
1. The daily water levels (normalized to the respective full condition) of two reservoirs A
and B are denoted by two random variables X and Y having the following joint PDF:
a.
b.
CE 93, Fall 2016
Homework Set 4: Conditional Probability & Random Variables
Due: Thursday September 29 by 5 PM (Hardcopy only; Show your work)
Problem 1
Text 2.3.11
Problem 2
Text 2.4.24
Problem 3
A deep well is used to provide drinking water to a city. T
b. Draw a tree diagram
0)
0.3
(
D
D
(0.
70
)
Positive (+) Negative (-)
1. Computer chips are manufactured on a production line. Of the manufactured chips,
30% are known to be defective. Diagnostic tools for the production line try to detect
if th
CE93 Spring 2017
Quiz #5
Name:_
Question #1
1.1 Provide a detailed schema (describe it in charts and text) for generating random numbers for the
distribution shown in the figure below.
Given the CDF, we can generate random numbers from it by:
1
CE 93 Spring 2017
Quiz 3
Name:_
In a class of 12 students, a project is assigned in which the students will work in
groups. Three groups are to be formed, consisting of five, four, and three students.
a. What is the number of ways in which the
CE 93 Spring 2017
Quiz 2
Name: _
In a process that manufactures aluminum cans, the probability that a can has a flaw
on its side is 0.03, the probability that a can has a flaw on the top is 0.04, and the
probability that a can has a flaw on b
CE 93 Spring 2017
Quiz 2
Name: _
In a process that manufactures aluminum cans, the probability that a can has a flaw
on its side is 0.02, the probability that a can has a flaw on the top is 0.03, and the
probability that a can has a flaw on b
CE 93: Engineering Data Analysis
Spring 2017
Homework 5 (Due Feb. 28)
Homework 5 is due in class on Tuesday, February 28. The relevant sections to read are
indicated for each problem. Please show all work and write complete sentences.
1. [16 points] [Sect
CE 93: Engineering Data Analysis
Spring 2017
Homework 7 (Due Mar. 14)
Homework 7 is due in class on Tuesday, March 14. The relevant sections to read are
indicated for each problem. Please show all work and write complete sentences.
1. [10 points] [Section
University Of California, Berkeley
CE93: Engineering Data Analysis
Spring 2016
MIDTERM
March 3, 2016
This exam is closed-book and closed-notes, but you are allowed to have one double-sided
sheet of material. Please be neat and show all work partial credit
University Of California, Berkeley
CE93: Engineering Data Analysis
Spring 2016
MIDTERM
March 3, 2016
This exam is closed-book and closed-notes, but you are allowed to have one double-sided
sheet of material. Please be neat and show all work partial credit
CE 93, Fall 2016
Homework Set 7: Review problems taken from old exams
Due: October 20, 2016 by 5:00pm in hardcopy
Problem 1
a)
b)
c)
d)
What is the value of the mean when the bad data point is included?
What is the value of the median when the bad data po
CE 93, Fall 2016
Homework Set 9:
Due: Thursday November 10, 2016 by 5:00pm in hardcopy
Problem 1: Text problem 5 of section 5.3
Problem 2: Text problem 9 of section 5.4
Problem 3: Text problem 5 of section 5.5
Problem 4: Text problem 6 of section 5.8
CE 93, Fall 2016
Homework Set 2: Basics of probability and searching for seminars
Due: Thursday September 15, 2016 by 5 PM (Hardcopy only; Show your work)
Problem 1
Consider three events , and in a sample space. Write expressions for the following:
a) All
CE 93, Spring 2016
Homework Set 3: Counting Methods and Conditional Probability
Due: Thursday September 22, 2016 by 5 PM (Hardcopy only; Show your work)
Problem 1
Text 2.2.9
Problem 2
Weightwatchers Airlines has 100 B757 pilots, 100 B757 co-pilots, and 50
CE 93, Fall 2016
Homework Set 1: Summarizing Data and Interviewing an Engineer
Due: September 8, 2016 by 5 PM.
Hardcopy submitted in class or to Hansens mailbox in 106 McLaughlin
Part I
Data EQ_yr_mag_rup.dat on the course website lists the year of occurr
CE 93, Fall 2016
Homework Set 11:
Due: Thursday December 1, 2016 by 5:00pm in hardcopy
Remember, all problems refer to the 4th Edition!
Problem 1: Text problem 9 of section 7.2 (use Matlab, and include your code and output)
Problem 2: Text problem 2 of se
CE 93, Fall 2016
Homework Set 6: Joint Distributions and Common Discrete Distributions
Due: October 13, 2016 by 5:00pm in hardcopy
Problem 1
A construction company owns four bulldozers. On a given day, 0 Y 4 of these bulldozers are
available to a specific
CE 93: Engineering Data Analysis
Spring 2017
Homework 4 (Due Feb. 21)
Homework 4 is due in class on Tuesday, February 21. The relevant sections to read are
indicated for each problem. Please show all work and write complete sentences.
1. [14 pts][Section
CE93_Engineering Data Analysis
Hansen, Liu, Michael, Fall 2011
Assignment 5
(Due Nov 3, 2011)
1. X is a normal random variable with
a. P(X>5)
b. P(2<X<15)
c. P(X<3)
d. x such that P(X<x) 0.3192
, compute
2. The drainage from a community during a storm is
CE93_Engineering Data Analysis
Hansen, Liu, Michael, Fall 2011
Assignment 6
Due November 17, 2011
1. The table below shows the intervals (in days) that elapsed between thirty-seven consecutive
fatal car accidents in a certain town. Assuming that the numbe
CE93_Engineering Data Analysis
Hansen, Liu, Michael, Fall 2011
Assignment 7
Due Dec 1, 2011
1. Problem 8.4 in Ross.
2. Problem 8.24 in Ross performing both a two-sided and a one-sided hypothesis test. If you
were testing this product for use in constructi
CE93_Engineering Data Analysis
Hansen, Liu, Michael, Fall 2011
Solution to HW 3
1. (40 points) Given are:
D: detect
DA: detect by A
DB: detect by B
G: gross polluter
System A:
,
,
System B:
,
,
,
a. Find P(G|Dc) for A only or say P(G|Ac). Use Bayes Theore
CE93_Engineering Data Analysis
Hansen, Liu, Michael, Fall 2011
Solution to assignment 5
1. (20 points) X is a normal random variable with
(
a.
)
(
(
(
b.
(
)
)
) (Normalize the variable)
)
, compute
(
)
(
)(
CDF of Z)
(
( )
( ) (Property of symmetry)
(
)
CE93_Engineering Data Analysis
Hansen, Liu, Michael, Fall 2011
Solution to Assignment 7
1. [15 points]
Two-sided hypothesis test: H0: = 8.2 vs. H1: 8.2
(use the normal distribution because variance is known)
p-value = 2 [1 (3.3204)] = .0010
This is smalle
CE93_Engineering Data Analysis
Hansen, Liu, Michael, Fall 2011
Assignment 6 Solutions
Due November 17, 2011
1. (15 points)
The average rate of accidents is about 0.028 / day or 0.028*7 = 0.196 / week. Using the poisson
pmf, where x = # accidents in a week
CE 93: Engineering Data Analysis
Spring 2017
Homework 6 (Due Mar. 7)
Homework 6 is due in class on Tuesday, March 7. The relevant sections to read are
indicated for each problem. Please show all work and write complete sentences.
1. [12 points] [Section 4
CE 93: Engineering Data Analysis
Spring 2017
Homework 1 (Due Jan. 31)
Homework 1 is due in class on Tuesday, January 31. The relevant sections to read are
indicated for each problem. Please show all work and write complete sentences.
1. [Section 1.2] Belo
CE 93
Spring 2017
QUIZ 1 SOLUTION
Bin #
1
2
3
4
5
Draw:
Values
1-2
2-3
3-4
4-5
5-6
Frequency
6
3
0
5
7
Histogram
Density function
CDF
70th percentile
F(3)
F(9)
Histogram:
We use the x-axis for the bin values and the y-axis for the frequency. Ive labeled
t
CE 93: Engineering Data Analysis
Spring 2017
Homework 3 (Due Feb. 14)
Homework 3 is due in class on Tuesday, February 14. The relevant sections to read are
indicated for each problem. Please show all work and write complete sentences.
1. [12 points][Secti