#10 abc
f(x) = f(y) = 1/(6-5) = 1
a) f(x, y) =
1 0
5
x
6,5
Y
6
y
6
otherwise
since f(x) = f(y) = 1/(6-5) = 1, for 5 X 5.75) P(5.25 Y
x
6, 5
y
6
b) P(5.25 X 5.75, 5.25 independence) c)
5.75) = P(5.25
5.75) = (.5)(.5) = .25 (by
I
y x 1
CEE 304 - Uncertainty Analysis in Engineering
Homework #2 Due: Monday, Sept. 3, 2007, at CEE_304 lecture. Read: Sections of Devore 2.1-2.5 for this week. Please start thinking about problem # 106 <D6 104> after Wednesday's lecture. Goal: Devore Chapt
CEE 304 - Uncertainty Analysis in Engineering
Homework #3 Due: Monday, September 10, 2007 in CLASS as will be the schedule. Read: Sections of text: 3.1-3.4 and 4.1-4.2 for this week. Goal: This homework finishes Counting in Devore Chapter 2. Devore C
CEE 304 - Uncertainty Analysis in Engineering
Homework #1 Due: In your section Wed Aug 29 or Thurs Aug 30, 2007.
Please put your name and section time on homework. Thank you! Read: Sections 1.1-1.4 of Devore7 on pages 1-45. Goal: Devore Chapter 1 int
CEE 304 - Uncertainty Analysis in Engineering
Homework #1 Due: In your section Wed Aug 29 or Thurs Aug 30, 2007.
Please put your name and section time on homework. Thank you! Read: Sections 1.1-1.4 of Devore6 on pages 1-51. Goal: Devore Chapter 1 int
CEE 304 Uncertainty Analysis in Engineering
Homework #5 Due: Mon, September 24, 2007.
LONG assignment. Start early.
ActivStats is RECOMMENDED but OPTIONAL (i.e. no points awarded)
Read: Devore 5.15.3, 5.5; handouts on conditional pdf's & moment an
CEE 304 Uncertainty Analysis in Engineering Prelim 1
October 3, 2007
SHOW WORK.
You may use the text, your notes, and calculators. No laptops or cell phones. There are 50 points in total. You have 50 minutes.
1. (8 pts) There are three events of in
1) {X1,., Xn} can be modeled by a Gamma distribution f X x
1
x
1
exp
x/
with a fixed value of the shape parameter .Thus you only need to calculate the value of . [In environmental applications when n is small, may be computed as an average from
CEE 304 UNCERTAINTY ANALYSIS IN ENGINEERING
2005 Final Examination 2:00 4:30 PM, Friday, December 16, 2005 Exam is open book and open notes. It lasts 150 minutes and there are 150 points. SHOW WORK! 1. (10 pts 2 pts each) Short answer and true/fal
CEE 3040 Fall 2013
Xin, Erin & Jery Stedinger
CEE304UncertaintyAnalysisinEngineering
HomeworkSolutions#5
#10 abc
f(x) = f(y) = 1/(6-5) = 1
5 x 6,5 y 6
since f(x) = f(y) = 1/(6-5) = 1, for 5 x 6, 5 y 6
otherwise
1
a) f(x, y) =
0
b) P(5.25 X 5.75, 5.25 Y 5
CEE3040UNCERTAINTYANALYSISINENGINEERING
First 3040 PRELIM EXAM IN class, Wed, Oct. 9, 2013 .
(We will spread out in Ives 305.)
Covering material in Chapters 1-5 and Poisson material in Section 3.6.
Open book and open notes; calculators, yes, laptops/iPads
CEE 304 - UNCERTAINTY ANALYSIS IN ENGINEERING
Homework #8 Due: Monday, October 22, 2007. Read: Sections 6.1 and 6.2, and prob. 34 on p. 252 Devore6 [p. 279 Devore6] for definition of MSE. For confidence intervals please read 7.1-7.2. Goal: We are now
CEE 304 - Uncertainty Analysis in Engineering
Homework #4 Due: Monday, September 17, 2007 Read: Sections of text 4.1-4.4, and attached handout on 1-to-1 transformations. Goal: Continuous random variables are common and useful in engineering. This hom
CEE 304 - Section #8 Example Problems (10-26-04)
Confidence Intervals for Small Samples: 1. An environmental engineer is studying the concentration of organics in a groundwater source for a rural water supply. Twelve samples yielded a sample mean and
7 3/8 x 9 1/4 Technical / Energy Systems Engineering / Vanek / 0071495932 / Chapter 9
CHAPTER
9
The Solar Resource
9-1 Overview
This chapter explains how light from the sun becomes available to do useful work on earth, as a basis for looking at how that s
CEE 3040 - UNCERTAINTY ANALYSIS IN ENGINEERING
Prelim 2 November 13, 2015
Exam is open notes and open-book.
It lasts 50 minutes and there are 50 points. SHOW WORK!
1. Short Answers (2 pts each)
(a) What is YOUR name, NETID, and day-time-room of your secti
CEE304UncertaintyAnalysisinEngineering
HomeworkSolutions#3
Q3. Supplemental exercise (p.127) # 103 (Devore 6th edition p141, #99)
a) Supplemental exercise (p.141 # 99): if p = 0.1 and n = 3, what is the expected
number of tests using this procedure? What
CEE 3040 HOMEWORK #8 SELECTED SOLUTIONS:
1) (20 Points Total)
cfw_X1,., Xn can be modeled by a Gamma distribution
1
f X x x 1 exp x /
with a fixed value of the shape parameter .Thus you only need to calculate the
value of . [In environmental applications
Xin, Erin & Jery Stedinger
Fall 2013
CEE304UncertaintyAnalysisinEngineering
SelectedHomeworkSolutions#9
8) Devore Sec 8.1 (p.324-325)
# 6 in D9:
When the alternative is Ha: 5 (safe), the formulation is such that the water is believed
unsafe until proved o
CEE 3040 HW#4 Selected Solutions
Q1: Derived Distributions
Part1: Find Constant, c1, and new pdf. The constant c is different than c1. The constant c may be
thought of as a material property.
Part 2: pdf of fy(y): There are 2 valid approaches (CDF and PDF