2
Introduction
This booklet consists of exercises on Blocks A, B, C and D with solutions. None
of these exercises involves using your computer. You will nd a few exercises that
require MINITAB at the end of the Computer Books.
The exercises dier in style
MATH S280
Statistical Methods for Decision Analysis
Supplementary Exercise Booklet
Contents
Introduction
1. Application of Expectation and Variance for Business Analysis
1.1 Application of Covariance
1.2 Portfolio Expected Return and Portfolio Risk
1.3 En
MATH S280 Surgery 1 Units A1 A5
Revision Exercises
1.
Find the sample mean, median, standard deviation and interquartile range for the data below.
20 32 36 38 38 39 41 43 43 45 50 61
(Ans
Mean =
xi 20 32 . 61
40.5
n
12
Median = x 1
(121)
2
x
1
6
2
MATHS280: STATISTICAL METHODS FOR DECISION ANALYSIS
TMA 02 (Due date: 11 Jan 2016) - B1 to B3 units
Part 1: Short Questions- 50 marks
Question 1 [8 marks]
(a) Assume that the salaries of secondary school teachers are normally distributed with a
mean of $3
MATH S346 TMA 02
Cut-off date: 17 March 2011
This assignment covers Unit 4 to 6.
Instructions for installing the new datasets used in this TMA, if you have not already done so,
are given on the front of this booklet.
Question 1 (Unit 4) 35 marks
The tensi
MATH S346
Supplementary Note
MATH S346 Supplementary Note on SLR
(Textbook Chapter 3)
In simple linear regression, there is only one explanatory/independent variable(x),
plus a response/dependent variable(y).
Response variable is continuous
Explanatory
MATH S346
Supplementary Note
Supplementary Note on One-way ANOVA
In regression analyses, the response variable Y is related to some continuous explanatory
variables, while in practice, Y may be related to qualitative (or nominal, categorical )
explanatory
MATH S346
Supplementary Note
Supplementary Note on Multiple Linear Regression
Note on Multiple Linear Regression
Page 1
MATH S346
Supplementary Note
Example
A data set is taken from an environmental study that measured four variables:
ozone (Y ) - ozone s
MATH S346 TMA 03
Cut-off date: 05 May 2011
This assignment covers Unit 6 to 8.
Instructions for installing the new datasets used in this TMA, if you have not already done so,
are given on the front of this booklet.
Question 1 (Unit 6) 32 marks [ You MUST
MATH S346 TMA 04
Cut-off date: 07 July 2011
This assignment covers Unit 9 to 11 and revision of unit 3.
Instructions for installing the new datasets used in this TMA, if you have not already done so,
are given on the front of this booklet.
Question 1 (Uni
MATH S346 TMA 01
Cut-off date: 09 December 2010
This assignment covers Unit 3 and 4.
Instructions for installing the new datasets used in this TMA, if you have not already done so,
are given on the front of this booklet.
Question 1 (Unit 3) 33 marks [ You
MATH S350 Specimen Exam Paper (2) Marking Scheme
Question 1
(a) By using the Maximum criterion, the home care organization is recommended to
construct a very large size nursing home.
1
(b) By using Maximin Criterion, the home care organization is recommen
MATH S350 Specimen Exam Paper (1) Marking Scheme
Question 1
The point-to-nearest-object distance R has a Rayleigh distribution
with parameter where 2 2 .
(a)
E ( R)
0.5
500
metres 91.3 metres
30
1
(b)
1
A = 30 0.4 0.2 = 2.4
1
(i)
(ii)
1
1
(iii)
2
So the
THE OPEN UNIVERSITY OF HONG KONG
MATH S350 SPECIMEN PAPER (2)
Higher Level Course Examination
Applied Probability Models for Decision Making
Time Allowed: 3 hours
Admissible/Inadmissible materials in this examination:
1. Calculators are allowed. (Please r
THE OPEN UNIVERSITY OF HONG KONG
MATH S350 SPECIMEN PAPER (1)
Higher Level Course Examination
Applied Probability Models for Decision Making
Time Allowed: 3 hours
Admissible/Inadmissible materials in this examination:
1. Calculators are allowed. (Please r
a M343 /M
The Open
University
Third Level Course Examination 1999
Applications of Probability
Monday, 18 October, 1999 2.30 pm - 5.30 pm
Time allowed: 3 hours
This examination is in TWO parts. Part I carries 40% of the total available marks
and Part 11 ca
'
s i
u R2B
&[email protected]
YQDa9vHsa`tqGPyw i lpa`)[email protected])qsa`Iq` ADA9vqAPt9qQPHA`s"
R2 r P R F c D
R2 R u [email protected] P R uP ( R2 r DB 9 P R P
i
R
SP
92 r
Q&Hl'
(&ySmAPvm&qtuAD&G2GDS&2)tF)A@&tF`
c2BPuB 92 u2 Pi F u cP [email protected] D CB 97 D
QA&Hr
F 92
MATH S280 Specimen Examination Paper (2) Solution
Part I
Question 1
Let D be the event that people with a certain disease S.
where P( D) 0.08 and P( D' ) 0.92
A certain test gives a positive result in 95% of the people who have disease S which
implies tha