Normal
Normal Probabilities
Common Data
Mean
Standard Deviation
Probability for X <=
X Value
Z Value
P(X<=7)
7
2
7
0
0.5
Probability for X >
X Value
Z Value
P(X>9)
9
1
0.1587
Probability for a Range
From X Value
10
To X Value
9
Z Value for 10
1.5
Z Value
CI for Population Proportion
Data
Sample Size
Number of Successes
Confidence Level
100
10
95%
Intermediate Calculations
Sample Proportion
Z Value
Standard Error of the Proportion
Interval Half Width
0.1
1.9600
0.03
0.0588
Confidence Interval
Interval Lowe
Motivating Example: DJIA Closing Prices
The Dow Jones Industrial Average closing prices for
the bull market from mid 1982 to the end of 1986:
STA 9708, Applied Statistical Analysis for
Business Decisions
Chapters 10 & 12 notes
2
DJIA Closing Prices (contd
!
!
!
3
The science of learning from data
It is concerned with the collection, analysis, and
interpretation of data, and effective communication
and presentation of results relying on data
Statistics lies at the heart of quantitative reasoning
What Is Sta
Z01_SHAR5662_SE_APPC pp3.qxd
A-42
1/5/09
7:20 PM
Page 42
APPENDIX C
Second decimal place in z
Table Z
Areas under the standard
Normal curve
0.09
0.08
0.07
0.06
0.05
0.04
0.03
0.02
0.01
0.00
z
z
0
0.0001
0.0001
0.0001
0.0002
0.0001
0.0001
0.0001
0.0002
0.0
OPR 9721 - Fall 2012
Michael Kattleman
Assignment 7
Assignment 8
page 1 of 1
Due Wednesday, December 2nd, 2015
(This assignment is based on Problem 13.23 (edition 4) which you can find at the bottom. Do not do 13.23)
Jennifer just had her 4th birthday and
OPR 9721 - Fall 2015
Assignment 05
page 1 of 2
Assignment 5 Due on Wednesday, November 11th, 2015 (flexible). I will not accept E-mail assignments. Each
person must submit his/her own answer and computer work. The computer work must have your name in the
OPR 9721 - Fall 2015
Assignment 7
Assignment 7
page 1 of 2
Due Wednesday, December 2nd, 2015
(This assignment is based on Problem 13.23 (edition 4) which you can find at the bottom. Do not do 13.23)
Jennifer just had her 4th birthday and her parents have
A
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B
C
D
E
G
H
I
J
K
L
M
Homework Assignment #6
OPR 9721: Fall 2015
A. Mark currently employs 13 servers
Template for the M/M/s
A
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G
H
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J
K
L
M
Homework Assignment #6
OPR 9721: Fall 2015
B. Mark should hire 18 servers to meet his objectives.
Temp
OPR 9721 - Fall 2015
Assignment 1 due 09/09/15
page 1 of 4
Assignment 1
This is due in class on Wednesday, September 9th, 2015. Each person must submit his/her own answer. If
anyone submits a copy of an assignment, everyone with that submission will get a
OPR 9721 - Fall 2014
Assignment 03
page 1 of 2
Assignment 3
(Part A due Monday, September 28, 2015 - no extensions)
(Part 2 due Monday, September 28, 2015 extension to 09/30)
Part A - Assigning Students to Schools (see page 2)
Case 3-5 pages 113 -114 in t
A - 1 - A.
Area
1
2
3
4
5
6
Number of Students % in Grade 6
450
0.32
600
0.37
550
0.30
350
0.28
500
0.39
450
0.34
Area
1
2
3
4
5
6
Sum
School Capacity
30% of Total
6th Graders
7th Graders
8th Graders
36% of Total
Bussing Cost:
% in Grade 7
0.38
0.28
0.32
OPR 9721 - Fall 2015
Assignment 02
page 1 of 2
due on Wednesday, September 16th, 2015
Assignment 2
You may discuss this among yourselves but each person must do his/her own work on the computer and on paper.
Hand in both a summary sheet with your answers
Homework Assignment #1
OPR 9721: Fall 2015
When taking a look at population and gender data across countries Worldwide we see striking
patterns across regions, and cultures. Furthermore, we see gender patterns on the Global level that might
not be seen wh
OPR 9721 - Fall
2015
Midterm Exam
Question #4 Write up:
Hello Bob
Just wanted to congratulate you on the Pennsylvania Turnpike contract Reep Construction was recently
awarded. I know you and your team are eager to begin working so I will get straight to S
OPR 9721 - Fall 2015
Exam 1 due dates to be determined
OPR 9721 - EXAM 1 -
page 1 of 9
PART A - takehome
Ideally you should begin working on the exam immediately. It should be completed independently (in an ideal
world) by each student. (Since no monitori
For Evaluation Only
Homework Assignme
OPR 9721: Fall 2
A. Mr. Maloy should not purchase the additional collision insurance in question. The reason being, the collision
insurance produces an expected value of $-1383.75 (Inclusive of the deductible), while
A.
Area
1
2
3
4
5
6
Sum
School Capacity
Number of Students
School 1 School 2
X1
X2
X4
X5
X7
X8
X10
X11
X13
X14
X16
X17
School 3 Sum
X3
X6
X9
X12
X15
X18
<=
<=
<=
900
1100
=
=
=
=
=
=
Students by Area
450
600
550
350
500
450
1000
-The variables are defined
Question #2
Stock Name
Shares of Stock
Purchase Price
Current Price
Price 1 Year from Now
Transaction Fee
Capital Gains Fee on Any Returns
Value
i
Si
Qvi=1,n
Pvi=1,n
Rvi=1,n
Qvi1
50
$1,000
$2,000
$1,900
Qvi2
50
$800
$2,000
$1,900
500
1000
950
400
1000
950
A.
Cost of Production (Development/Facilities)
Additional Cost for Each Clock Produced
Projected Price
Sales Projection
$250,000
$2,000
$4,500
Sales < or Equal to 999
Profit or Loss Produced from Selling all Clocks Produced
Hypothetical # of Clocks Produc
OPR 9721 Fall 2015
Assignment 4
page 1 of 2
Assignment 4
This is due on Wednesday, 10/07/15 (not firm).
You may discuss this among yourselves but each person must do his/her own work on the computer and
on paper.
Hand in both a summary sheet with your ans
A.
Mean = $304,277.98
SD = $66,309.94
B.
> $200,000
>$240,000
>$280,000
Accumulation
Accumulation
Accumulation
> 97.35%
> 84.28%
> 60.24%
C.
Fixed Return
SD = $303,915.50
D.
95% confidence interval estimate of accumulation.
$170,471.76
$360,390.08
E.
Not
Question #1
A.
Unit Profit
Family Thrillseeker Classy Cruiser
$3,600.00
$5,400.00
Hours Used
Unit Hours Required
6
10.5
48000
Doors Used
Unit Doors Required
4
Unit Demand
3800
Unit Demand
3800
Unit Demand
3250
Unit Demand
3000
2
20000
2400
<=
3500
B. No t
STA U703/9715
Professor Gross
The Gamblers Ruin Problem
Please note
corrections to
formulae in text
A gambler starts with an initial fortune of $ i. He wagers $1 at
each game. The probability of winning +1 is p, and losing -1 is q =
1-p. His fortune then
STAT 9715 HW Assignment # 3:
Read from chapter 4: Sections 4.1-4.4.
The examples are not nearly as onerous as some you have seen. Make your own selection. Do
problems: 4.1 4.2
(4.7 4.8) together
For all problems compute E(X).
Dr Gross
4.13 4.14
Advanced Data Mining
Kamiar Rahnama Rad
lecture 1
chapter 1
statistical learning:
supervised: the presence of the outcome variable guides
the learning process, such as regression and classification.
unsupervised: we observe only the features and have n
Random Walk Continued
Thursday, September 15, 2016
5:50 PM
This is an example of the application of random walk (Gambler's ruin) to a clinical trials. the general random walk Xn was defined as follows with Zn taking only
two possible values, +1 and -1. No