Chapter 2 Probability
Chapter 3 Discrete Random Variables and Probability
Distributions
Alternative formula for variance of X: V(X) = E(X2) (E(X)2
Summary of Common Probability Distributions (Chapters 3 & 4)
RULES FOR THE MIDTERM EXAM
Every student is expected to be present for the exam!
The exam is open book, open notes, open computer; however,
No internet connection is allowed, i.e., no email, facebook, etc.
Absolutely no cell phone usage during the exam. T
IE 360 Homework #7
6-7
Using Minitab to solve this problem:
Descriptive Statistics for inside diameter of forged auto piston rings (in mm)
Variable N
ID (mm) 8
Mean StDev
Min.
Q1
Median
Q3 Max.
74.004 0.00466 74.000 74.001 74.004 74.005 74.015
6-7 continu
RULES FOR THE FINAL EXAM
Saturday, April 25, 4:45 7:15pm, J.B. Speed 100
EVERYONE MUST BE HERE FOR THE FINAL EXAM!
The use of computers is allowed
No internet connection allowed, i.e., no email, facebook,
etc.
Absolutely no cell phone usage during the
IE 360 Homework #9: Chapter 8
8-4
8-4
IE 360 Homework #9: Chapter 8
8-4
Find the confidence intervals on the population mean:
The assumed standard deviation = 20
N Mean SE Mean
95% CI
10 1000.00 6.32 (987.60, 1012.40)
The assumed standard deviation = 20
N
IE 360 Homework # 8 Chapter 7 in Textbook
7-10
1
By the Central Limit Theorem, Y X 6 is ~ N 5.5,
144
even though the r. v. x is uniformly distributed
7-10
By the CLT, the sampling distribution
of the mean of samples of size n = 12
from a Uniform distrib
2015 Midterm Exam Solutions
March 5, 2015
1. A town has two fire engines operating independently. The probability that a
specific engine is available when needed is 0.96.
(a) What is the probability that neither is available when needed?
(b) What is the p
IE 360
Probability and Statistics for
Engineers
Gail W. DePuy, PhD, PE
Room 311 JB Speed Building
Department of Industrial Engineering
University of Louisville
Louisville, KY 40292 USA
Phone: 502-852-0115
Email: [email protected]
IE 360 GW DePuy
2
Intr
IE 360
Probability and Statistics for Engineers
Instructor
Dr. Gail W. DePuy, P.E.
Department of Industrial Engineering
University of Louisville
phone: (502) 852-0115
email: [email protected]
Lecture: Tuesday and Thursday 2:30pm – 3:45pm EH 103
Text:
A
IE 360
Probability and Statistics for
Engineers
Gail W. DePuy, PhD, PE
Room 311 JB Speed Building
Department of Industrial Engineering
University of Louisville
Louisville, KY 40292 USA
Phone: 502-852-0115
Email: [email protected]
IE 360 GW DePuy
Intro
IE 360 Homework Assignment #3 Solutions
4-8 4-28 4-36 a& b only 4-54 4-62 4-86
4-8
a) P( X < 74.8) =
74.8
1.25dx = 1.25x
75.3
74.8 74.6
= 0.25
74.6
b) P(X < 74.8 or X > 75.2) = P(X < 74.8) + P(X > 75.2) because the two events are mutual
3-88 Let X = # of opponents until the player is defeated (i.e. # of trials until first success). Success = player defeated p=0.2 (a) Find f(x) for number of successes until first failure. X~geometric with p = 0.2 f(x) = (1 p)x 1p = 0.8(x 1)*0.2 (b