Probability and Statistical Methods for Mechanical and Environmental Engineering
MAE 108

Spring 2014
NAME:
MAE 108 Probability and Statistical Methods for Engineers  Winter 2011
Final exam  March 16, 2011
3 hours, open book, open notes, calculator allowed, no cell phones.
Write your answers directly on the exam.
100 points total. Each of the 10 problem
Probability and Statistical Methods for Mechanical and Environmental Engineering
MAE 108

Spring 2014
Topic 22 Basic probability rules
Meaning of probability
(i) Experimental: if an experiment is repeated N times (e.g. throwing a die), and one records the
frequency f that a certain event E occurs (e.g. a prime number comes up), then as N gets very
large,
Probability and Statistical Methods for Mechanical and Environmental Engineering
MAE 108

Spring 2015
MAE 108  Probability and Statistical Methods for Engineers  Spring 2015
Midterm 2, May 22
Instructions
(i) One cheat sheet with notes, book tables, and calculator with no communication capabilities are
allowed,
(ii) No cellphones, tablets, or laptops,
(
Probability and Statistical Methods for Mechanical and Environmental Engineering
MAE 108

Spring 2014
NAME:
MAE 108 Probability and Statistical Methods for Engineers  Winter 2011
Midterm # 1  February 4, 2011
50 minutes, open book, open notes, calculator allowed, no cell phones.
Write your answers directly on the exam. 40 points total.
The exam is 4 pag
Probability and Statistical Methods for Mechanical and Environmental Engineering
MAE 108

Spring 2014
NAME:
MAE 108 Probability and Statistical Methods for Engineers  Spring 2012
Midterm # 1  May 4, 2012
50 minutes, open book, open notes, calculator allowed, no cell phones or computers.
Write your answers directly on the exam. 50 points total.
The exam
Probability and Statistical Methods for Mechanical and Environmental Engineering
MAE 108

Spring 2014
MAE 108  Probability and Statistical Methods for Engineers  Spring 2014
Midterm 1, April 24
Instructions
(i) Open book, open notes, calculator with no communication capabilities are allowed,
(ii) No cellphones, tablets, or laptops,
(iii) You have 70 min
Probability and Statistical Methods for Mechanical and Environmental Engineering
MAE 108

Spring 2014
NAME:
MAE 108 Probability and Statistical Methods for Engineers  Winter 2010
Midterm # 2  February 22, 2010
50 minutes, open book, open notes, calculator allowed, no cell phones.
Write your answers directly on the exam. 40 points total.
(1) (10 points)
Probability and Statistical Methods for Mechanical and Environmental Engineering
MAE 108

Spring 2014
MAE108: Probability and Statistical Methods for Mechanical and Environmental Engineering
Midterm 1
Key Point
The Addition Law of Probability
If two events and to provide a exclusive explanation of your answers.
To receive full credit youAhaveB are mutuall
Probability and Statistical Methods for Mechanical and Environmental Engineering
MAE 108

Spring 2014
NAME:
MAE 108 Probability and Statistical Methods for Engineers  Spring 2013
Final Exam  June 12, 2013
3 hours, open book, open notes, calculator allowed, no cell phones or computers.
Write your answers directly on the exam. Each problem is worth 10 poi
Probability and Statistical Methods for Mechanical and Environmental Engineering
MAE 108

Spring 2014
MAE 108 Probability and Statistical Methods for Engineers  Spring 2013
Midterm # 2  May 24, 2012
50 minutes, open book, open notes, calculator allowed, no cell phones or computers.
Write your answers directly on the exam. 40 points total.
The exam is 5
Probability and Statistical Methods for Mechanical and Environmental Engineering
MAE 108

Spring 2014
MAE108: Probability and Statistical Methods for Mechanical and Environmental Engineering
Midterm 2
To receive full credit you have to provide a detailed explanation of your answers.
1. (20 points) Like so many carefree San Diegans, your friend decided to
Probability and Statistical Methods for Mechanical and Environmental Engineering
MAE 108

Spring 2014
MAE 108  Probability and Statistical Methods for Engineers  Spring 2014
Final Exam, June 10
Instructions
(i) Open book, open notes, calculator with no communication capabilities are allowed,
(ii) No cellphones, tablets, or laptops,
(iii) You have 170 mi
Probability and Statistical Methods for Mechanical and Environmental Engineering
MAE 108

Spring 2014
NAME:
MAE 108 Probability and Statistical Methods for Engineers  Spring 2012
Final Exam  June 13, 2012
3 hours, open book, open notes, calculator allowed, no cell phones or computers.
Write your answers directly on the exam. 100 points total.
The exam i
Probability and Statistical Methods for Mechanical and Environmental Engineering
MAE 108

Spring 2014
MAE 108  Probability and Statistical Methods for Engineers  Spring 2014
Midterm 2, May 20
Instructions
(i) Open book, open notes, calculator with no communication capabilities are allowed,
(ii) No cellphones, tablets, or laptops,
(iii) You have 80 minut
Probability and Statistical Methods for Mechanical and Environmental Engineering
MAE 108

Spring 2014
MAE 108  Probability and Statistical Methods for Engineers  Spring 2014
Midterm 1, April 24
Instructions
(i) Open book, open notes, calculator with no communication capabilities are allowed,
(ii) No cellphones, tablets, or laptops,
(iii) You have 70 min
Probability and Statistical Methods for Mechanical and Environmental Engineering
MAE 108

Spring 2014
NAME:
MAE 108 Probability and Statistical Methods for Engineers  Winter 2011
Midterm # 2  February 25, 2011
50 minutes, open book, open notes, calculator allowed, no cell phones.
Write your answers directly on the exam. 40 points total.
The exam is 4 pa
Probability and Statistical Methods for Mechanical and Environmental Engineering
MAE 108

Spring 2014
MAE 108  Probability and Statistical Methods for Engineers  Spring 2017
Midterm 1, April 28
Instructions
(i) One cheat sheet with notes and calculator with no communication capabilities are allowed,
(ii) No cellphones, tablets, or laptops,
(iii) You hav
Probability and Statistical Methods for Mechanical and Environmental Engineering
MAE 108

Spring 2015
MAE 108  Probability and Statistical Methods for Engineers  Spring 2015
Midterm 1, April 24
Instructions
(i) One cheat sheet with notes and calculator with no communication capabilities are allowed,
(ii) No cellphones, tablets, or laptops,
(iii) You hav
Probability and Statistical Methods for Mechanical and Environmental Engineering
MAE 108

Spring 2015
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Probability and Statistical Methods for Mechanical and Environmental Engineering
MAE 108

Spring 2015
MAE 108 Final Review  Spring 2015
Questions
1. An architecture rm takes part in three competitions. Two of them are public contests to build the
city re department headquarters (F) and the police department headquarters (D). The third one is a
private pr
Probability and Statistical Methods for Mechanical and Environmental Engineering
MAE 108

Spring 2015
MAE108 Homework 6 Solutions  Spring 2015
June 7, 2015
Problem 3.48
Dene X as the capacity of a pile with X = 100 tons and X = 0.2, so X = X X = 20 tons. Because X
follows a lognormal distribution,
fX (x) =
=
1
1
exp
2
2(x)
ln 1 + X 2 =
ln(x)
2
,
ln (1
Probability and Statistical Methods for Mechanical and Environmental Engineering
MAE 108

Spring 2015
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Probability and Statistical Methods for Mechanical and Environmental Engineering
MAE 108

Spring 2015
MAE108 Homework 2 Solutions  Spring 2015
April 19, 2015
Problem 2.7
Dene
D1 = the event that the rst weld is defective
D2 = the event that the second weld is defective
D3 = the event that the third weld is defective.
We know P (D1 ) = P (D2 ) = P (D3
Probability and Statistical Methods for Mechanical and Environmental Engineering
MAE 108

Spring 2012
NAME:
MAE 108 Probability and Statistical Methods for Engineers  Spring 2012
Midterm # 1  May 4, 2012
50 minutes, open book, open notes, calculator allowed, no cell phones or computers.
Write your answers directly on the exam. 50 points total.
The exam
Probability and Statistical Methods for Mechanical and Environmental Engineering
MAE 108

Spring 2012
NAME:
MAE 108 Probability and Statistical Methods for Engineers  Spring 2012
Midterm # 2  May 25, 2012
50 minutes, open book, open notes, calculator allowed, no cell phones or computers.
Write your answers directly on the exam. 40 points total.
The exam
Probability and Statistical Methods for Mechanical and Environmental Engineering
MAE 108

Spring 2014
MAE 108  Probability and Statistical Methods for Engineers  Spring 2015
Final Exam, June 10
Instructions
(i) Two (twosided) cheat sheets, book tables, and a calculator with no communication capabilities are
allowed,
(ii) No cellphones, tablets, or lapt
Probability and Statistical Methods for Mechanical and Environmental Engineering
MAE 108

Spring 2014
MAE 108  Probability and Statistical Methods for Engineers  Spring 2016
Final Exam, June 8
Instructions
(i) One (twosided) cheat sheet, book tables, and a calculator with no communication capabilities are
allowed,
(ii) No cellphones, tablets, or laptop
Probability and Statistical Methods for Mechanical and Environmental Engineering
MAE 108

Spring 2014
MAE 108: Homework 2 Solution
1
Problem 2.5
a) Let MA be the bending moment of the beam when subject to the loads.
Then, MA = W1 length1 + W2 length2 , where lengthi is the distance of the load Wi ,
for i = 1, 2, to the wall. We set Wi = 0 in case the load
Probability and Statistical Methods for Mechanical and Environmental Engineering
MAE 108

Spring 2014
MAE 108 Homework 1  Spring 2017
1. The following table shows data on emissions of particulate matter (PM)
for a sample of 62 vehicles. The data is in units of grams of particulates
per gallon of fuel consumed.
7.59
23.38
7.18
3.84
9.52
5.91
1.83
6.28 6.0
Probability and Statistical Methods for Mechanical and Environmental Engineering
MAE 108

Spring 2014
MAE 108 Homework 1 (due April 14, 2017)
1. The following table shows data on emissions of particulate matter (PM)
for a sample of 62 vehicles. The data is in units of grams of particulates
per gallon of fuel consumed.
7.59
23.38
7.18
3.84
9.52
5.91
1.83
6