Probability and Statistics for Mechanical Engineers
MEC 214

Spring 2014
MEC 214 Probability and Statistics Component
Homework#3 Solutions
Problem#1 (3 pt)
a) Each digit has 5 choices; therefore, there are 54 = 625 numbers
The number of nonrepeated numbers is a permutation of 4 objects from a list of 5
5!
= 5 " 4 " 3 " 2 = 12
Probability and Statistics for Mechanical Engineers
MEC 214

Fall 2014
MEC214 Probability and Statistics
Homework#2 Solutions
Problem#1 (5 pt)
We propose to fit a set of N data points having the form (xi, yi), where i = 1 N, by the linear curve: y(x) = ax + b.
The error function between each data point is ei = axi + b ! yi .
Probability and Statistics for Mechanical Engineers
MEC 214

Spring 2014
MEC 214 Probability and Statistics
Homework #3
Due: Thurs. 12/3/15
You must show your work in great detail for full credit
Maximum number of points: 20
Problem #1 (3 points)
a) How many fourdigit numbers can be formed using only 3, 4, 7, 8, and 9? How ma
Probability and Statistics for Mechanical Engineers
MEC 214

Spring 2014
AN OLD FINAL EXAM: MAT 203 PLUS SEVERAL MORE
PROBLEMS
(1) The equation x3 + x yz + sin(yz) = 0 determines x implicitly as a
function x=g(y,z) of y and z. Compute the partial derivative values gy (2, 1)
and gz (2, 1). (Hint: g(2,1)=1.)
(2) Let R denote the
Probability and Statistics for Mechanical Engineers
MEC 214

Spring 2014
MEC 214
VI. Combinatorial Methods
Many problems in probability are solved by counting the total number of sample points and the number
of ways that an event occurs. Here, we study a few rules that enable us to count systematically.
(1) The counting princi
Probability and Statistics for Mechanical Engineers
MEC 214

Spring 2014
Your Name_
ERROR ANALYSIS IN ENGINEERING MEASUREMENTS
MEC 214
February 2013
Jon P. Longtin
Thomas Cubauda)
Department of Mechanical Engineering
Stony Brook University
Stony Brook, New York 117942300
a)
Electronic mail: [email protected]
1 TABLE
Probability and Statistics for Mechanical Engineers
MEC 214

Spring 2014
MEC214 Probability and Statistics
Homework#2 Solutions
Problem#1 (5 pt)
We propose to fit a set of N data points having the form (xi, yi), where i = 1 N, by the linear curve: y(x) = ax + b.
The error function between each data point is ei = axi + b ! yi .
Probability and Statistics for Mechanical Engineers
MEC 214

Spring 2014
MEC 214 Homework #2
Assigned: Thurs. 03/14/13. Due date: Thurs. 03/28/13.
You must show your detailed work for full credit
All calculation by hand or calculator No Matlab
Problem #1: (5 pts)
Derive the formulas for a linear curve fit y(x) = ax + b for a s
Probability and Statistics for Mechanical Engineers
MEC 214

Spring 2014
MEC 214 Probability and Statistics
Homework #3
Assigned: Thurs. 04/11/13. Due: Thurs. 04/25/13
You must show your work in great detail for full credit
Maximum number of points: 20
Problem #1 (3 points)
a) How many fourdigit numbers can be formed using on
Probability and Statistics for Mechanical Engineers
MEC 214

Spring 2014
MEC214 Homework #1
Assigned: Thurs. 02/21/13. Due date: Thur. 03/07/13
Do all work by hand
Do NOT use a computer or a calculator that performs statistical calculations
You must show your work in great detail for full credit
Problem #1 (8 points)
The follo
Probability and Statistics for Mechanical Engineers
MEC 214

Spring 2014
Fall 2016 Tuition and Fee Billing Rates
The table below summarizes the tuition and fee billing rates for the specified credit hours. Enrollment in certain
courses may subject students to additional fees. Tuition and Fee rates are subject to change. Please
Probability and Statistics for Mechanical Engineers
MEC 214

Spring 2014
HW2
Recitation
Problem 1
Linear Regression:
Goal: Making the difference between as small as possible!
Problem 1
1. Define the error for each point:
2. Define the error for all points: (quadratic polynomial)
3. Find to make as small as possible:
(1) & (2
Probability and Statistics for Mechanical Engineers
MEC 214

Fall 2014
MEC 214 Probability and Statistics Component
Homework#3 Solutions
Problem#1 (3 pt)
a) Each digit has 5 choices; therefore, there are 54 = 625 numbers
The number of nonrepeated numbers is a permutation of 4 objects from a list of 5
5!
= 5 " 4 " 3 " 2 = 12
Probability and Statistics for Mechanical Engineers
MEC 214

Fall 2014
MEC 214 Probability and Statistics Component
Homework#3 Solutions
Problem#1 (3 pt)
a) Each digit has 5 choices; therefore, there are 54 = 625 numbers
The number of nonrepeated numbers is a permutation of 4 objects from a list of 5
5!
= 5 " 4 " 3 " 2 = 12
Probability and Statistics for Mechanical Engineers
MEC 214

Spring 2014
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Probability and Statistics for Mechanical Engineers
MEC 214

Spring 2014
Final Exam Guide for MEC 214 (2016, Fall)
(note 1) Given to help your preparation for final exam. But, note that it cannot be complete guide by any
means. Its your responsibility to go through and understand entire lecture notes & HWs & manual given
in th
Probability and Statistics for Mechanical Engineers
MEC 214

Spring 2014
BC546B, BC547A, B, C,
BC548B, C
Amplifier Transistors
NPN Silicon
Features
http:/onsemi.com
PbFree Packages are Available*
COLLECTOR
1
MAXIMUM RATINGS
Rating
Symbol
Collector  Emitter Voltage
Value
VCEO
BC546
BC547
BC548
Collector  Base Voltage
Vdc
65
Probability and Statistics for Mechanical Engineers
MEC 214

Spring 2014
MEC 214
Error Propagation
Index
Absolute Uncertainty
Root sum square uncertainty
Uncertainty Tree
Introduction
In most measurements, the quantity actually measured (Input variable)
differs from quantity that is being reported (Output variable).
Introd
Probability and Statistics for Mechanical Engineers
MEC 214

Spring 2014
MEC 214 Probability and Statistics
Homework #3
Due: Thurs. 12/1/16
You must show your work in great detail for full credit
Maximum number of points: 20
Problem #1 (3 points)
a) How many fourdigit numbers can be formed using only 3, 4, 7, 8, and 9? How ma
Probability and Statistics for Mechanical Engineers
MEC 214

Spring 2014
MEC 220 Practical Electronics for Mechanical Engineers
FALL 2016
Instructor: Noah D. Machtay, Ph.D., P.E., 146 Heavy Engineering Building, 29014
email: [email protected]
(emails will generally be answered within 2 business days)
Office Hours:
Probability and Statistics for Mechanical Engineers
MEC 214

Spring 2014
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Probability and Statistics for Mechanical Engineers
MEC 214

Spring 2014
Your Name_
ERROR ANALYSIS IN ENGINEERING MEASUREMENTS
MEC 214
Jon P. Longtin
Thomas Cubaud
David Hwang
Department of Mechanical Engineering
Stony Brook University
Stony Brook, New York 117942300
1 TABLE OF CONTENTS
1
2
3
4
5
6
Table of Contents . 2
Introd
Probability and Statistics for Mechanical Engineers
MEC 214

Spring 2014
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Probability and Statistics for Mechanical Engineers
MEC 214

Spring 2014
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Probability and Statistics for Mechanical Engineers
MEC 214

Spring 2014
MEC214 Homework #1
Assigned: Thurs. 09/12/13. Due date: Thur. 09/26/13
Do all work by hand
Do NOT use a computer or a calculator that performs statistical calculations
You must show your work in great detail for full credit
Problem #1 (8 points)
The follo